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157244090496 = 2733153249233
BaseRepresentation
bin1001001001110001111…
…0100110100010000000
3120000212121111102212120
42102130132212202000
510034013441343441
6200123102324240
714234440500423
oct2223436464200
9500777442776
10157244090496
116076120a5a9
1226584889680
1311a9c30903c
1478798c99ba
154154a61966
hex249c7a6880

157244090496 has 128 divisors (see below), whose sum is σ = 439289879040. Its totient is φ = 49766645760.

The previous prime is 157244090449. The next prime is 157244090503. The reversal of 157244090496 is 694090442751.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506296 + ... + 755528.

It is an arithmetic number, because the mean of its divisors is an integer number (3431952180).

Almost surely, 2157244090496 is an apocalyptic number.

157244090496 is a gapful number since it is divisible by the number (16) 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 157244090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219644939520).

157244090496 is an abundant number, since it is smaller than the sum of its proper divisors (282045788544).

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

157244090496 is a wasteful number, since it uses less digits than its factorization.

157244090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249334 (or 249322 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 157244090496 in words is "one hundred fifty-seven billion, two hundred forty-four million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 318 372 384 424 496 636 744 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 3968 4929 5088 5952 6572 6784 9858 10176 11904 13144 19716 20352 26288 39432 52576 78864 105152 157728 210304 249233 315456 498466 630912 747699 996932 1495398 1993864 2990796 3987728 5981592 7726223 7975456 11963184 13209349 15452446 15950912 23178669 23926368 26418698 30904892 31901824 39628047 46357338 47852736 52837396 61809784 79256094 92714676 95705472 105674792 123619568 158512188 185429352 211349584 247239136 317024376 370858704 409489819 422699168 494478272 634048752 741717408 818979638 845398336 988956544 1228469457 1268097504 1483434816 1637959276 1690796672 2456938914 2536195008 2966869632 3275918552 4913877828 5072390016 6551837104 9827755656 13103674208 19655511312 26207348416 39311022624 52414696832 78622045248 157244090496