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132845101415015 = 511172920143243227
BaseRepresentation
bin11110001101001001101001…
…000101000111101001100111
3122102100212102112021011000212
4132031021221011013221213
5114403013231430240030
61150312110323130035
736660512311544453
oct3615115105075147
9572325375234025
10132845101415015
1139368322536410
1212a9632b81391b
1359183159c4932
1424b3a46cc1663
15105591513a595
hex78d269147a67

132845101415015 has 64 divisors (see below), whose sum is σ = 190495858268160. Its totient is φ = 87791121008640.

The previous prime is 132845101414979. The next prime is 132845101415017. The reversal of 132845101415015 is 510514101548231.

It is not a de Polignac number, because 132845101415015 - 222 = 132845097220711 is a prime.

It is a super-3 number, since 3×1328451014150153 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132845101415017) 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, 546055832 + ... + 546299058.

It is an arithmetic number, because the mean of its divisors is an integer number (2976497785440).

Almost surely, 2132845101415015 is an apocalyptic number.

132845101415015 is a deficient number, since it is larger than the sum of its proper divisors (57650756853145).

132845101415015 is a wasteful number, since it uses less digits than its factorization.

132845101415015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263432.

The product of its (nonzero) digits is 96000, while the sum is 41.

The spelling of 132845101415015 in words is "one hundred thirty-two trillion, eight hundred forty-five billion, one hundred one million, four hundred fifteen thousand, fifteen".

Divisors: 1 5 11 17 29 55 85 145 187 319 493 935 1595 2465 5423 20143 27115 100715 221573 243227 342431 584147 1107865 1216135 1712155 2675497 2920735 3766741 4134859 6425617 7053583 9930499 13377485 18833705 20674295 32128085 35267915 45483449 49652495 77589413 109235489 119910911 227417245 387947065 546177445 599554555 1319020021 4899321461 6595100105 24496607305 53892536071 83288464837 142080322369 269462680355 416442324185 710401611845 916173113207 1562883546059 2415365480273 4580865566035 7814417730295 12076827401365 26569020283003 132845101415015