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132928418196 = 223371264713903
BaseRepresentation
bin111101111001100100…
…1101011000110010100
3110201010000021022012000
41323303021223012110
54134214133340241
6141022205155300
712414042624510
oct1736311530624
9421100238160
10132928418196
1151413699062
122191955bb30
13c6c57b5572
14661039b140
1536ceeb7eb6
hex1ef326b194

132928418196 has 96 divisors (see below), whose sum is σ = 393921454080. Its totient is φ = 37973813472.

The previous prime is 132928418173. The next prime is 132928418197. The reversal of 132928418196 is 691814829231.

It is a happy number.

132928418196 is a `hidden beast` number, since 1 + 32 + 9 + 2 + 8 + 418 + 196 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132928418197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9554181 + ... + 9568083.

It is an arithmetic number, because the mean of its divisors is an integer number (4103348480).

Almost surely, 2132928418196 is an apocalyptic number.

It is an amenable number.

132928418196 is an abundant number, since it is smaller than the sum of its proper divisors (260993035884).

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

132928418196 is a wasteful number, since it uses less digits than its factorization.

132928418196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26570 (or 26562 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 132928418196 in words is "one hundred thirty-two billion, nine hundred twenty-eight million, four hundred eighteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 12647 13903 25294 27806 37941 41709 50588 55612 75882 83418 88529 97321 113823 125127 151764 166836 177058 194642 227646 250254 265587 291963 341469 354116 375381 389284 455292 500508 531174 583926 682938 750762 796761 875889 1062348 1167852 1365876 1501524 1593522 1751778 2390283 2627667 3187044 3503556 4780566 5255334 9561132 10510668 175831241 351662482 527493723 703324964 1054987446 1230818687 1582481169 2109974892 2461637374 3164962338 3692456061 4747443507 4923274748 6329924676 7384912122 9494887014 11077368183 14769824244 18989774028 22154736366 33232104549 44309472732 66464209098 132928418196