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18499895971072 = 287919720112309
BaseRepresentation
bin1000011010011010101111…
…01110100100110100000000
32102111120110120002011001221
410031031113232210310000
54411100241332033242
6103202422422404424
73616400445120655
oct415152756446400
972446416064057
1018499895971072
115992841a9122a
1220a94a1890714
13a426c0475b69
1447d584c71c2c
152213587dd167
hex10d357ba4d00

18499895971072 has 144 divisors (see below), whose sum is σ = 37619761132800. Its totient is φ = 9078048645120.

The previous prime is 18499895971027. The next prime is 18499895971079. The reversal of 18499895971072 is 27017959899481.

It is a Harshad number since it is a multiple of its sum of digits (79).

It is a junction number, because it is equal to n+sod(n) for n = 18499895970983 and 18499895971001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18499895971079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8012080254 + ... + 8012082562.

It is an arithmetic number, because the mean of its divisors is an integer number (261248341200).

Almost surely, 218499895971072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18499895971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18809880566400).

18499895971072 is an abundant number, since it is smaller than the sum of its proper divisors (19119865161728).

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

18499895971072 is a wasteful number, since it uses less digits than its factorization.

18499895971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 79.

The spelling of 18499895971072 in words is "eighteen trillion, four hundred ninety-nine billion, eight hundred ninety-five million, nine hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 197 256 316 394 632 788 1264 1576 2011 2309 2528 3152 4022 4618 5056 6304 8044 9236 10112 12608 15563 16088 18472 20224 25216 31126 32176 36944 50432 62252 64352 73888 124504 128704 147776 158869 182411 249008 257408 295552 317738 364822 396167 454873 498016 514816 591104 635476 729644 792334 909746 996032 1270952 1459288 1584668 1819492 1992064 2541904 2918576 3169336 3638984 3984128 4643399 5083808 5837152 6338672 7277968 9286798 10167616 11674304 12677344 14555936 18573596 20335232 23348608 25354688 29111872 31297193 35934967 37147192 40670464 46697216 50709376 58223744 62594386 71869934 74294384 101418752 116447488 125188772 143739868 148588768 250377544 287479736 297177536 366828521 500755088 574959472 594355072 733657042 914749603 1001510176 1149918944 1188710144 1467314084 1829499206 2003020352 2299837888 2934628168 3658998412 4006040704 4599675776 5869256336 7317996824 8012081408 9199351552 11738512672 14635993648 23477025344 29271987296 46954050688 58543974592 72265218637 93908101376 117087949184 144530437274 234175898368 289060874548 578121749096 1156243498192 2312486996384 4624973992768 9249947985536 18499895971072