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159137846644 = 2272311012111229
BaseRepresentation
bin1001010000110101011…
…0101101010101110100
3120012202120221012221011
42110031112231111310
510101403242043034
6201035032202004
714332404243400
oct2241526552564
9505676835834
10159137846644
1161543190627
1226a12b39304
13120117648ca
1479b920a100
154215e39864
hex250d5ad574

159137846644 has 144 divisors (see below), whose sum is σ = 339597135360. Its totient is φ = 64985760000.

The previous prime is 159137846519. The next prime is 159137846663. The reversal of 159137846644 is 446648731951.

159137846644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 129485022 + ... + 129486250.

It is an arithmetic number, because the mean of its divisors is an integer number (2358313440).

Almost surely, 2159137846644 is an apocalyptic number.

159137846644 is a gapful number since it is divisible by the number (14) 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 159137846644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169798567680).

159137846644 is an abundant number, since it is smaller than the sum of its proper divisors (180459288716).

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

159137846644 is a wasteful number, since it uses less digits than its factorization.

159137846644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1581 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 159137846644 in words is "one hundred fifty-nine billion, one hundred thirty-seven million, eight hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 101 124 196 202 211 217 404 422 434 707 844 868 1229 1414 1477 1519 2458 2828 2954 3038 3131 4916 4949 5908 6076 6262 6541 8603 9898 10339 12524 13082 17206 19796 20678 21311 21917 26164 34412 38099 41356 42622 43834 45787 60221 76198 85244 87668 91574 120442 124129 149177 152396 153419 183148 240884 248258 259319 266693 298354 306838 320509 496516 518638 533386 596708 613676 641018 660641 868903 1037276 1044239 1066772 1282036 1321282 1737806 1815233 1866851 2088478 2642564 3475612 3630466 3733702 3847999 4176956 4624487 6082321 7260932 7467404 7695998 8038889 9248974 12164642 12706631 15391996 16077778 18497948 24329284 25413262 26191219 26935993 32155556 32371409 50826524 52382438 53871986 56272223 64742818 104764876 107743972 112544446 129485636 183338533 188551951 225088892 366677066 377103902 393905561 733354132 754207804 787811122 811927789 1283369731 1575622244 1623855578 2566739462 3247711156 5133478924 5683494523 11366989046 22733978092 39784461661 79568923322 159137846644