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152989381116 = 22321113174717011
BaseRepresentation
bin1000111001111011100…
…0001011000111111100
3112121220002111210211200
42032132320023013330
510001310240143431
6154140553215500
714024135166045
oct2163670130774
9477802453750
10152989381116
1159978576460
1225797a01590
13115719b6520
1475947d18cc
153ea6276ee6
hex239ee0b1fc

152989381116 has 144 divisors (see below), whose sum is σ = 454618889088. Its totient is φ = 42767222400.

The previous prime is 152989381093. The next prime is 152989381157. The reversal of 152989381116 is 611183989251.

It is a happy number.

152989381116 is a `hidden beast` number, since 1 + 529 + 8 + 93 + 8 + 11 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8985051 + ... + 9002061.

Almost surely, 2152989381116 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 152989381116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227309444544).

152989381116 is an abundant number, since it is smaller than the sum of its proper divisors (301629507972).

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

152989381116 is a wasteful number, since it uses less digits than its factorization.

152989381116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18792 (or 18787 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The spelling of 152989381116 in words is "one hundred fifty-two billion, nine hundred eighty-nine million, three hundred eighty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 1747 2574 3494 5148 5241 6988 10482 15723 17011 19217 20964 22711 31446 34022 38434 45422 51033 57651 62892 68044 68133 76868 90844 102066 115302 136266 153099 172953 187121 204132 204399 221143 230604 249821 272532 306198 345906 374242 408798 442286 499642 561363 612396 663429 691812 748484 749463 817596 884572 999284 1122726 1326858 1498926 1684089 1990287 2245452 2248389 2432573 2653716 2997852 3368178 3980574 4496778 4865146 6736356 7297719 7961148 8993556 9730292 14595438 21893157 29190876 29718217 43786314 59436434 87572628 89154651 118872868 178309302 267463953 326900387 356618604 386336821 534927906 653800774 772673642 980701161 1069855812 1159010463 1307601548 1545347284 1961402322 2318020926 2942103483 3477031389 3922804644 4249705031 4636041852 5884206966 6954062778 8499410062 11768413932 12749115093 13908125556 16998820124 25498230186 38247345279 50996460372 76494690558 152989381116