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132616561044564 = 22331772231242399
BaseRepresentation
bin11110001001110100110011…
…000000110010110001010100
3122101120000112011020102111000
4132021310303000302301110
5114340242204111411224
61150015112421543300
736635142003466362
oct3611646300626124
9571500464212430
10132616561044564
113928a4054484a3
1212a59b89b74b30
1358cc8c38395bc
1424a696658a632
15104e9db2b00c9
hex789d33032c54

132616561044564 has 48 divisors (see below), whose sum is σ = 364045461696000. Its totient is φ = 41605195621248.

The previous prime is 132616561044559. The next prime is 132616561044637. The reversal of 132616561044564 is 465440165616231.

132616561044564 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 65 + 6 + 10 + 4 + 4 + 564 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132616561044564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36115619364 + ... + 36115623035.

It is an arithmetic number, because the mean of its divisors is an integer number (7584280452000).

Almost surely, 2132616561044564 is an apocalyptic number.

It is an amenable number.

132616561044564 is an abundant number, since it is smaller than the sum of its proper divisors (231428900651436).

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

132616561044564 is a wasteful number, since it uses less digits than its factorization.

132616561044564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72231242429 (or 72231242421 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 132616561044564 in words is "one hundred thirty-two trillion, six hundred sixteen billion, five hundred sixty-one million, forty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 72231242399 144462484798 216693727197 288924969596 433387454394 650081181591 866774908788 1227931120783 1300162363182 1950243544773 2455862241566 2600324726364 3683793362349 3900487089546 4911724483132 7367586724698 7800974179092 11051380087047 14735173449396 22102760174094 33154140261141 44205520348188 66308280522282 132616561044564