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157146264561 = 311132941308081
BaseRepresentation
bin1001001001011010100…
…1011011001111110001
3120000121210102100220210
42102112221123033301
510033313420431221
6200105245454333
714232142131546
oct2222651331761
9500553370823
10157146264561
1160710a73520
1226557b713a9
1311a84c76c80
14786a902bcd
15414b18b276
hex2496a5b3f1

157146264561 has 64 divisors (see below), whose sum is σ = 260859191040. Its totient is φ = 82811904000.

The previous prime is 157146264547. The next prime is 157146264581. The reversal of 157146264561 is 165462641751.

It is not a de Polignac number, because 157146264561 - 25 = 157146264529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157146264561.

It is not an unprimeable number, because it can be changed into a prime (157146264581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356041 + ... + 664121.

It is an arithmetic number, because the mean of its divisors is an integer number (4075924860).

Almost surely, 2157146264561 is an apocalyptic number.

157146264561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157146264561 is a deficient number, since it is larger than the sum of its proper divisors (103712926479).

157146264561 is a wasteful number, since it uses less digits than its factorization.

157146264561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308178.

The product of its digits is 1209600, while the sum is 48.

The spelling of 157146264561 in words is "one hundred fifty-seven billion, one hundred forty-six million, two hundred sixty-four thousand, five hundred sixty-one".

Divisors: 1 3 11 13 29 33 39 41 87 123 143 319 377 429 451 533 957 1131 1189 1353 1599 3567 4147 5863 12441 13079 15457 17589 39237 46371 170027 308081 510081 924243 3388891 4005053 8934349 10166673 12015159 12631321 26803047 37893963 44055583 98277839 116146537 132166749 138944531 164207173 294833517 348439611 366308309 416833593 492621519 1098924927 1277611907 1806278903 3832835721 4029391399 4762008017 5418836709 12088174197 14286024051 52382088187 157146264561