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157191063408 = 24325985721589
BaseRepresentation
bin1001001001100101010…
…0010100011101110000
3120000201220201101101100
42102121110110131300
510033411403012113
6200113530004400
714233224664461
oct2223124243560
9500656641340
10157191063408
1160734291565
122656ab76700
1311a91330b72
147872844d68
154150089d73
hex2499514770

157191063408 has 120 divisors (see below), whose sum is σ = 447915639600. Its totient is φ = 51446449152.

The previous prime is 157191063401. The next prime is 157191063409. The reversal of 157191063408 is 804360191751.

157191063408 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 9 + 1 + 0 + 634 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157191063401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7270278 + ... + 7291866.

It is an arithmetic number, because the mean of its divisors is an integer number (3732630330).

Almost surely, 2157191063408 is an apocalyptic number.

157191063408 is a gapful number since it is divisible by the number (18) 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 157191063408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223957819800).

157191063408 is an abundant number, since it is smaller than the sum of its proper divisors (290724576192).

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

157191063408 is a wasteful number, since it uses less digits than its factorization.

157191063408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22519 (or 22510 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 157191063408 in words is "one hundred fifty-seven billion, one hundred ninety-one million, sixty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 857 944 1062 1416 1714 2124 2571 2832 3428 4248 5142 6856 7713 8496 10284 13712 15426 20568 21589 30852 41136 43178 50563 61704 64767 86356 101126 123408 129534 151689 172712 194301 202252 259068 303378 345424 388602 404504 455067 518136 606756 777204 809008 910134 1036272 1213512 1273751 1554408 1820268 2427024 2547502 3108816 3640536 3821253 5095004 7281072 7642506 10190008 11463759 15285012 18501773 20380016 22927518 30570024 37003546 45855036 55505319 61140048 74007092 91710072 111010638 148014184 166515957 183420144 222021276 296028368 333031914 444042552 666063828 888085104 1091604607 1332127656 2183209214 2664255312 3274813821 4366418428 6549627642 8732836856 9824441463 13099255284 17465673712 19648882926 26198510568 39297765852 52397021136 78595531704 157191063408