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132892481664 = 2732459125127
BaseRepresentation
bin111101111000100000…
…0100101100010000000
3110201000111122112112100
41323301000211202000
54134130433403124
6141014443030400
712413125312335
oct1736100454200
9421014575470
10132892481664
11513a5383448
122190950b400
13c6bb212447
1466096c498c
1536cbc6a1c9
hex1ef1025880

132892481664 has 96 divisors (see below), whose sum is σ = 382510477440. Its totient is φ = 44286082560.

The previous prime is 132892481663. The next prime is 132892481741. The reversal of 132892481664 is 466184298231.

132892481664 is a `hidden beast` number, since 1 + 328 + 9 + 248 + 16 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132892481664.

It is not an unprimeable number, because it can be changed into a prime (132892481663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5276269 + ... + 5301395.

It is an arithmetic number, because the mean of its divisors is an integer number (3984484140).

Almost surely, 2132892481664 is an apocalyptic number.

It is an amenable number.

132892481664 is an abundant number, since it is smaller than the sum of its proper divisors (249617995776).

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

132892481664 is a wasteful number, since it uses less digits than its factorization.

132892481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29738 (or 29723 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 132892481664 in words is "one hundred thirty-two billion, eight hundred ninety-two million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4591 9182 13773 18364 25127 27546 36728 41319 50254 55092 73456 75381 82638 100508 110184 146912 150762 165276 201016 220368 226143 293824 301524 330552 402032 440736 452286 587648 603048 661104 804064 881472 904572 1206096 1322208 1608128 1762944 1809144 2412192 2644416 3216256 3618288 4824384 5288832 7236576 9648768 14473152 28946304 115358057 230716114 346074171 461432228 692148342 922864456 1038222513 1384296684 1845728912 2076445026 2768593368 3691457824 4152890052 5537186736 7382915648 8305780104 11074373472 14765831296 16611560208 22148746944 33223120416 44297493888 66446240832 132892481664