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132116471312 = 24717612235101
BaseRepresentation
bin111101100001011000…
…0010101111000010000
3110122000102110010110012
41323002300111320100
54131033304040222
6140405442254052
712354653322440
oct1730260257020
9418012403405
10132116471312
1151037338381
1221731657328
13c5c650b917
146574602120
153683a811e2
hex1ec2c15e10

132116471312 has 160 divisors (see below), whose sum is σ = 316303755264. Its totient is φ = 52171776000.

The previous prime is 132116471303. The next prime is 132116471321. The reversal of 132116471312 is 213174611231.

It is an interprime number because it is at equal distance from previous prime (132116471303) and next prime (132116471321).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25897562 + ... + 25902662.

Almost surely, 2132116471312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132116471312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158151877632).

132116471312 is an abundant number, since it is smaller than the sum of its proper divisors (184187283952).

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

132116471312 is a wasteful number, since it uses less digits than its factorization.

132116471312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5411 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The spelling of 132116471312 in words is "one hundred thirty-two billion, one hundred sixteen million, four hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 61 68 112 119 122 136 223 238 244 272 427 446 476 488 854 892 952 976 1037 1561 1708 1784 1904 2074 3122 3416 3568 3791 4148 5101 6244 6832 7259 7582 8296 10202 12488 13603 14518 15164 16592 20404 24976 26537 27206 29036 30328 35707 40808 53074 54412 58072 60656 71414 81616 86717 95221 106148 108824 116144 142828 173434 190442 212296 217648 231251 285656 311161 346868 380884 424592 462502 571312 607019 622322 693736 761768 925004 1137523 1214038 1244644 1387472 1523536 1618757 1850008 2178127 2275046 2428076 2489288 3237514 3700016 4356254 4550092 4856152 4978576 5289737 6475028 7962661 8712508 9100184 9712304 10579474 12950056 15925322 17425016 18200368 19337891 21158948 25900112 31850644 34850032 37028159 38675782 42317896 63701288 69388903 74056318 77351564 84635792 127402576 135365237 138777806 148112636 154703128 270730474 277555612 296225272 309406256 485722321 541460948 555111224 592450544 971444642 1082921896 1110222448 1179611351 1942889284 2165843792 2359222702 3885778568 4718445404 7771557136 8257279457 9436890808 16514558914 18873781616 33029117828 66058235656 132116471312