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19132305712452 = 2235127280155333
BaseRepresentation
bin1000101100110100101100…
…10010010010010101000100
32111202000211021120122200000
410112122112102102111010
510001430430230244302
6104405132050121300
74013156241202632
oct426322622222504
974660737518600
1019132305712452
116106a68884159
12218bb76580230
13a8a2267b501a
144a20195d8352
15232a1dad231c
hex116696492544

19132305712452 has 144 divisors (see below), whose sum is σ = 50567279572992. Its totient is φ = 6324845990400.

The previous prime is 19132305712451. The next prime is 19132305712453. The reversal of 19132305712452 is 25421750323191.

19132305712452 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 2 + 3 + 0 + 571 + 24 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (19132305712451) and next prime (19132305712453).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19132305712398 and 19132305712407.

It is not an unprimeable number, because it can be changed into a prime (19132305712451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345738978 + ... + 345794310.

Almost surely, 219132305712452 is an apocalyptic number.

19132305712452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19132305712452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25283639786496).

19132305712452 is an abundant number, since it is smaller than the sum of its proper divisors (31434973860540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19132305712452 is a wasteful number, since it uses less digits than its factorization.

19132305712452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58280 (or 58266 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 19132305712452 in words is "nineteen trillion, one hundred thirty-two billion, three hundred five million, seven hundred twelve thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 243 254 324 381 486 508 762 972 1143 1524 2286 2801 3429 4572 5602 6858 8403 10287 11204 13716 16806 20574 25209 30861 33612 41148 50418 55333 61722 75627 100836 110666 123444 151254 165999 221332 226881 302508 331998 355727 453762 497997 663996 680643 711454 907524 995994 1067181 1361286 1422908 1493991 1991988 2134362 2722572 2987982 3201543 4268724 4481973 5975964 6403086 7027291 8963946 9604629 12806172 13445919 14054582 17927892 19209258 21081873 26891838 28109164 28813887 38418516 42163746 53783676 57627774 63245619 84327492 86441661 115255548 126491238 154987733 172883322 189736857 252982476 309975466 345766644 379473714 464963199 569210571 619950932 758947428 929926398 1138421142 1394889597 1707631713 1859852796 2276842284 2789779194 3415263426 4184668791 5579558388 6830526852 8369337582 12554006373 16738675164 19683442091 25108012746 37662019119 39366884182 50216025492 59050326273 75324038238 78733768364 118100652546 150648076476 177150978819 236201305092 354301957638 531452936457 708603915276 1062905872914 1594358809371 2125811745828 3188717618742 4783076428113 6377435237484 9566152856226 19132305712452