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132171045504 = 2731927676547
BaseRepresentation
bin111101100011000000…
…0100001101010000000
3110122011020010210011120
41323012000201222000
54131141241424004
6140415112112240
712356215231041
oct1730600415200
9418136123146
10132171045504
1151065122813
1221747995680
13c604909044
14657b96a8c8
1536887613d9
hex1ec6021a80

132171045504 has 128 divisors (see below), whose sum is σ = 369747225600. Its totient is φ = 41716767744.

The previous prime is 132171045497. The next prime is 132171045521. The reversal of 132171045504 is 405540171231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1321710455042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20184759 + ... + 20191305.

It is an arithmetic number, because the mean of its divisors is an integer number (2888650200).

Almost surely, 2132171045504 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 132171045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184873612800).

132171045504 is an abundant number, since it is smaller than the sum of its proper divisors (237576180096).

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

132171045504 is a wasteful number, since it uses less digits than its factorization.

132171045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 132171045504 in words is "one hundred thirty-two billion, one hundred seventy-one million, forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2767 3648 5534 6547 7296 8301 11068 13094 16602 19641 22136 26188 33204 39282 44272 52376 52573 66408 78564 88544 104752 105146 124393 132816 157128 157719 177088 209504 210292 248786 265632 314256 315438 354176 373179 419008 420584 497572 531264 628512 630876 746358 838016 841168 995144 1062528 1257024 1261752 1492716 1682336 1990288 2514048 2523504 2985432 3364672 3980576 5047008 5970864 6729344 7961152 10094016 11941728 15922304 18115549 20188032 23883456 36231098 47766912 54346647 72462196 108693294 144924392 217386588 289848784 344195431 434773176 579697568 688390862 869546352 1032586293 1159395136 1376781724 1739092704 2065172586 2318790272 2753563448 3478185408 4130345172 5507126896 6956370816 8260690344 11014253792 16521380688 22028507584 33042761376 44057015168 66085522752 132171045504