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157102673 = 72132310723
BaseRepresentation
bin10010101110100…
…11001001010001
3101221121122100112
421113103021101
5310204241143
623331131105
73615231200
oct1127231121
9357548315
10157102673
1180753622
1244743a95
1326717a80
1416c17237
15dbd3e18
hex95d3251

157102673 has 24 divisors (see below), whose sum is σ = 205386048. Its totient is φ = 118885536.

The previous prime is 157102651. The next prime is 157102679. The reversal of 157102673 is 376201751.

It is not a de Polignac number, because 157102673 - 26 = 157102609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157102679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9290 + ... + 20012.

It is an arithmetic number, because the mean of its divisors is an integer number (8557752).

Almost surely, 2157102673 is an apocalyptic number.

157102673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157102673 is a deficient number, since it is larger than the sum of its proper divisors (48283375).

157102673 is a wasteful number, since it uses less digits than its factorization.

157102673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 157102673 is about 12534.0605152520. The cubic root of 157102673 is about 539.5866441157.

The spelling of 157102673 in words is "one hundred fifty-seven million, one hundred two thousand, six hundred seventy-three".

Divisors: 1 7 13 23 49 91 161 299 637 1127 2093 10723 14651 75061 139399 246629 525427 975793 1726403 3206177 6830551 12084821 22443239 157102673