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157366664 = 237131931367
BaseRepresentation
bin10010110000100…
…11100110001000
3101222010001110222
421120103212020
5310241213124
623340525212
73620410640
oct1130234610
9358101428
10157366664
11809139a4
1244850808
13267aac90
1416c85520
15dc3725e
hex9613988

157366664 has 128 divisors (see below), whose sum is σ = 395673600. Its totient is φ = 56920320.

The previous prime is 157366663. The next prime is 157366687. The reversal of 157366664 is 466663751.

157366664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 157366664 = 1973 + 5313 = 2043 + 5303.

It is not an unprimeable number, because it can be changed into a prime (157366663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428609 + ... + 428975.

It is an arithmetic number, because the mean of its divisors is an integer number (3091200).

Almost surely, 2157366664 is an apocalyptic number.

157366664 is a gapful number since it is divisible by the number (14) 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 157366664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197836800).

157366664 is an abundant number, since it is smaller than the sum of its proper divisors (238306936).

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

157366664 is a wasteful number, since it uses less digits than its factorization.

157366664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The square root of 157366664 is about 12544.5870398351. The cubic root of 157366664 is about 539.8887104905. Note that the first 3 decimals are identical.

The spelling of 157366664 in words is "one hundred fifty-seven million, three hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 31 38 52 56 62 76 91 104 124 133 152 182 217 247 248 266 364 367 403 434 494 532 589 728 734 806 868 988 1064 1178 1468 1612 1729 1736 1976 2356 2569 2821 2936 3224 3458 4123 4712 4771 5138 5642 6916 6973 7657 8246 9542 10276 11284 11377 13832 13946 15314 16492 19084 20552 22568 22754 27892 30628 32984 33397 38168 45508 48811 53599 55784 61256 66794 79639 90649 91016 97622 107198 133588 147901 159278 181298 195244 214396 216163 267176 295802 318556 362596 390488 428792 432326 591604 634543 637112 725192 864652 1035307 1183208 1269086 1513141 1729304 2070614 2538172 2810119 3026282 4141228 5076344 5620238 6052564 8282456 11240476 12105128 19670833 22480952 39341666 78683332 157366664