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4011316154532 = 22321729313722093
BaseRepresentation
bin111010010111110101000…
…100110001000010100100
3112012110220112000220122200
4322113311010301002210
51011210133413421112
612310435002254500
7562544103510231
oct72276504610244
915173815026580
104011316154532
11130720a437aa5
125495057b7430
1323135b388b6b
14dc2121ca788
156e524699cdc
hex3a5f51310a4

4011316154532 has 144 divisors (see below), whose sum is σ = 11141881536240. Its totient is φ = 1211173576704.

The previous prime is 4011316154519. The next prime is 4011316154569. The reversal of 4011316154532 is 2354516131104.

4011316154532 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 3 + 1 + 615 + 4 + 5 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 70956173376 + 3940359981156 = 266376^2 + 1985034^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5194078 + ... + 5916170.

It is an arithmetic number, because the mean of its divisors is an integer number (77374177335).

Almost surely, 24011316154532 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 4011316154532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570940768120).

4011316154532 is an abundant number, since it is smaller than the sum of its proper divisors (7130565381708).

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

4011316154532 is a wasteful number, since it uses less digits than its factorization.

4011316154532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722462 (or 722457 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 4011316154532 in words is "four trillion, eleven billion, three hundred sixteen million, one hundred fifty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 313 348 493 522 612 626 939 986 1044 1252 1479 1878 1972 2817 2958 3756 4437 5321 5634 5916 8874 9077 10642 11268 15963 17748 18154 21284 27231 31926 36308 47889 54462 63852 81693 95778 108924 154309 163386 191556 308618 326772 462927 617236 722093 925854 1388781 1444186 1851708 2166279 2777562 2888372 4332558 5555124 6498837 8665116 12275581 12997674 20940697 24551162 25995348 36826743 41881394 49102324 62822091 73653486 83762788 110480229 125644182 147306972 188466273 220960458 226015109 251288364 355991849 376932546 441920916 452030218 678045327 711983698 753865092 904060436 1067975547 1356090654 1423967396 2034135981 2135951094 2712181308 3203926641 3842256853 4068271962 4271902188 6407853282 6554438161 7684513706 8136543924 11526770559 12815706564 13108876322 15369027412 19663314483 23053541118 26217752644 34580311677 39326628966 46107082236 58989943449 69160623354 78653257932 111425448737 117979886898 138321246708 222850897474 235959773796 334276346211 445701794948 668552692422 1002829038633 1337105384844 2005658077266 4011316154532