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215661106146 = 231921371514813
BaseRepresentation
bin1100100011011001100…
…1110101001111100010
3202121122210102022022210
43020312121311033202
512013133220344041
6243023501542550
721403166104413
oct3106631651742
9677583368283
10215661106146
1183509088032
1235968574a56
131744bb0a3a5
14a61c03780a
155923327016
hex32366753e2

215661106146 has 96 divisors (see below), whose sum is σ = 461673537408. Its totient is φ = 67144723200.

The previous prime is 215661106121. The next prime is 215661106147. The reversal of 215661106146 is 641601166512.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (215661106147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44805636 + ... + 44810448.

It is an arithmetic number, because the mean of its divisors is an integer number (4809099348).

Almost surely, 2215661106146 is an apocalyptic number.

215661106146 is an abundant number, since it is smaller than the sum of its proper divisors (246012431262).

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

215661106146 is a wasteful number, since it uses less digits than its factorization.

215661106146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 215661106146 in words is "two hundred fifteen billion, six hundred sixty-one million, one hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 19 38 57 114 137 151 274 302 361 411 453 722 822 906 1083 2166 2603 2869 4813 5206 5738 7809 8607 9626 14439 15618 17214 20687 28878 41374 49457 54511 62061 91447 98914 109022 124122 148371 163533 182894 274341 296742 327066 393053 548682 659381 726763 786106 1179159 1318762 1453526 1737493 1978143 2180289 2358318 3474986 3956286 4360578 5212479 7468007 10424958 12528239 13808497 14936014 22404021 25056478 27616994 37584717 41425491 44808042 75169434 82850982 99566531 199133062 238036541 262361443 298699593 476073082 524722886 597399186 714109623 787084329 1428219246 1574168658 1891764089 3783528178 5675292267 11350584534 35943517691 71887035382 107830553073 215661106146