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157687514516 = 227172327135309
BaseRepresentation
bin1001001011011011101…
…0001000010110010100
3120002000111212201021102
42102312322020112110
510040421000431031
6200235102405232
714251433521010
oct2226672102624
9502014781242
10157687514516
1160969544634
1226689290818
1311b4014280c
1478bc755540
15417d9517cb
hex24b6e88594

157687514516 has 96 divisors (see below), whose sum is σ = 348639137280. Its totient is φ = 60805730304.

The previous prime is 157687514507. The next prime is 157687514561. The reversal of 157687514516 is 615415786751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29699270 + ... + 29704578.

It is an arithmetic number, because the mean of its divisors is an integer number (3631657680).

Almost surely, 2157687514516 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 157687514516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174319568640).

157687514516 is an abundant number, since it is smaller than the sum of its proper divisors (190951622764).

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

157687514516 is a wasteful number, since it uses less digits than its factorization.

157687514516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8073 (or 8071 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 56.

The spelling of 157687514516 in words is "one hundred fifty-seven billion, six hundred eighty-seven million, five hundred fourteen thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2713 2737 5309 5426 5474 10618 10852 10948 18991 21236 37163 37982 46121 62399 74326 75964 90253 92242 122107 124798 148652 180506 184484 244214 249596 322847 361012 436793 488428 631771 645694 854749 873586 1060783 1263542 1291388 1709498 1747172 2075819 2121566 2527084 3418996 4151638 4243132 7425481 8303276 14403317 14530733 14850962 28806634 29061466 29701924 57613268 58122932 100823219 201646438 244856389 331276291 403292876 489712778 662552582 979425556 1325105164 1713994723 2318934037 3427989446 4637868074 5631696947 6855978892 9275736148 11263393894 22526787788 39421878629 78843757258 157687514516