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157516012044 = 22345911517159
BaseRepresentation
bin1001001010110010101…
…1111001101000001100
3120001120120011111010000
42102230223321220030
510040043044341134
6200210054444300
714244252003546
oct2225453715014
9501516144100
10157516012044
1160890756256
122663b963690
1311b13755671
1478a3a70696
15416d875e99
hex24acaf9a0c

157516012044 has 120 divisors (see below), whose sum is σ = 419179622400. Its totient is φ = 51563368800.

The previous prime is 157516012033. The next prime is 157516012097. The reversal of 157516012044 is 440210615751.

157516012044 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 1 + 601 + 2 + 0 + 44 = 666.

It is a super-2 number, since 2×1575160120442 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21998937 + ... + 22006095.

It is an arithmetic number, because the mean of its divisors is an integer number (3493163520).

Almost surely, 2157516012044 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 157516012044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209589811200).

157516012044 is an abundant number, since it is smaller than the sum of its proper divisors (261663610356).

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

157516012044 is a wasteful number, since it uses less digits than its factorization.

157516012044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 157516012044 its reverse (440210615751), we get a palindrome (597726627795).

The spelling of 157516012044 in words is "one hundred fifty-seven billion, five hundred sixteen million, twelve thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1151 1593 2124 2302 3186 3453 4604 4779 6372 6906 7159 9558 10359 13812 14318 19116 20718 21477 28636 31077 41436 42954 62154 64431 67909 85908 93231 124308 128862 135818 186462 193293 203727 257724 271636 372924 386586 407454 422381 579879 611181 773172 814908 844762 1159758 1222362 1267143 1689524 1833543 2319516 2444724 2534286 3667086 3801429 5068572 5500629 7334172 7602858 8240009 11001258 11404287 15205716 16480018 22002516 22808574 24720027 32960036 34212861 45617148 49440054 68425722 74160081 98880108 136851444 148320162 222480243 296640324 444960486 486160531 667440729 889920972 972321062 1334881458 1458481593 1944642124 2669762916 2916963186 4375444779 5833926372 8750889558 13126334337 17501779116 26252668674 39379003011 52505337348 78758006022 157516012044