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157194864 = 2433675431
BaseRepresentation
bin10010101111010…
…01101001110000
3101221210022211000
421113221221300
5310220213424
623333122000
73616064031
oct1127515160
9357708730
10157194864
1180806912
1244789300
132674aa18
1416c3ca88
15dc013c9
hex95e9a70

157194864 has 80 divisors (see below), whose sum is σ = 458026240. Its totient is φ = 51606720.

The previous prime is 157194827. The next prime is 157194871. The reversal of 157194864 is 468491751.

157194864 is a `hidden beast` number, since 157 + 19 + 486 + 4 = 666.

157194864 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 26229 + ... + 31659.

It is an arithmetic number, because the mean of its divisors is an integer number (5725328).

Almost surely, 2157194864 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 157194864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229013120).

157194864 is an abundant number, since it is smaller than the sum of its proper divisors (300831376).

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

157194864 is a wasteful number, since it uses less digits than its factorization.

157194864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5503 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 157194864 is about 12537.7375949571. The cubic root of 157194864 is about 539.6921702324.

The spelling of 157194864 in words is "one hundred fifty-seven million, one hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 5431 7236 9648 10862 14472 16293 21724 28944 32586 43448 48879 65172 86896 97758 130344 146637 195516 260688 293274 363877 391032 586548 727754 782064 1091631 1173096 1455508 2183262 2346192 2911016 3274893 4366524 5822032 6549786 8733048 9824679 13099572 17466096 19649358 26199144 39298716 52398288 78597432 157194864