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157063588020 = 223254152140849
BaseRepresentation
bin1001001001000110111…
…0000010100010110100
3120000102000211222000200
42102101232002202310
510033131234304040
6200053133440500
714230116320223
oct2222156024264
9500360758020
10157063588020
11606793343a9
1226534340130
1311a70aba541
14785d940cba
154143ca9630
hex2491b828b4

157063588020 has 144 divisors (see below), whose sum is σ = 488995088400. Its totient is φ = 40782643200.

The previous prime is 157063587991. The next prime is 157063588049. The reversal of 157063588020 is 20885360751.

157063588020 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 63 + 588 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157063587991) and next prime (157063588049).

It can be written as a sum of positive squares in 8 ways, for example, as 20734272036 + 136329315984 = 143994^2 + 369228^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3824556 + ... + 3865404.

It is an arithmetic number, because the mean of its divisors is an integer number (3395799225).

Almost surely, 2157063588020 is an apocalyptic number.

157063588020 is a gapful number since it is divisible by the number (10) 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 157063588020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244497544200).

157063588020 is an abundant number, since it is smaller than the sum of its proper divisors (331931500380).

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

157063588020 is a wasteful number, since it uses less digits than its factorization.

157063588020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41426 (or 41421 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 157063588020 in words is "one hundred fifty-seven billion, sixty-three million, five hundred eighty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 521 615 738 820 1042 1230 1476 1563 1845 2084 2460 2605 3126 3690 4689 5210 6252 7380 7815 9378 10420 15630 18756 21361 23445 31260 40849 42722 46890 64083 81698 85444 93780 106805 122547 128166 163396 192249 204245 213610 245094 256332 320415 367641 384498 408490 427220 490188 612735 640830 735282 768996 816980 961245 1225470 1281660 1470564 1674809 1838205 1922490 2450940 3349618 3676410 3844980 5024427 6699236 7352820 8374045 10048854 15073281 16748090 20097708 21282329 25122135 30146562 33496180 42564658 50244270 60293124 63846987 75366405 85129316 100488540 106411645 127693974 150732810 191540961 212823290 255387948 301465620 319234935 383081922 425646580 638469870 766163844 872575489 957704805 1276939740 1745150978 1915409610 2617726467 3490301956 3830819220 4362877445 5235452934 7853179401 8725754890 10470905868 13088632335 15706358802 17451509780 26177264670 31412717604 39265897005 52354529340 78531794010 157063588020