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132133520022304 = 25171975412279033
BaseRepresentation
bin11110000010110010111011…
…100001100001101100100000
3122022211211201012100001012011
4132002302323201201230200
5114304333422111203204
61145005145012242304
736555221542524553
oct3602627341415440
9568754635301164
10132133520022304
113911356937aa89
12129a0440610394
1358961a304acc8
14248b42180869a
15104216944e304
hex782cbb861b20

132133520022304 has 96 divisors (see below), whose sum is σ = 277350105651696. Its totient is φ = 61750463201280.

The previous prime is 132133520022281. The next prime is 132133520022391. The reversal of 132133520022304 is 403220025331231.

It can be written as a sum of positive squares in 8 ways, for example, as 123264440412304 + 8869079610000 = 11102452^2 + 2978100^2 .

It is a super-2 number, since 2×1321335200223042 (a number of 29 digits) contains 22 as substring.

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, 56838372 + ... + 59117404.

Almost surely, 2132133520022304 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 132133520022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138675052825848).

132133520022304 is an abundant number, since it is smaller than the sum of its proper divisors (145216585629392).

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

132133520022304 is a wasteful number, since it uses less digits than its factorization.

132133520022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279798 (or 2279790 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 132133520022304 its reverse (403220025331231), we get a palindrome (535353545353535).

The spelling of 132133520022304 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, five hundred twenty million, twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 197 272 394 541 544 788 1082 1576 2164 3152 3349 4328 6304 6698 8656 9197 13396 17312 18394 26792 36788 53584 73576 106577 107168 147152 213154 294304 426308 852616 1705232 1811809 2279033 3410464 3623618 4558066 7247236 9116132 14494472 18232264 28988944 36464528 38743561 57977888 72929056 77487122 154974244 309948488 448969501 619896976 897939002 1232956853 1239793952 1795878004 2465913706 3591756008 4931827412 7183512016 7632481517 9863654824 14367024032 15264963034 19727309648 20960266501 30529926068 39454619296 41920533002 61059852136 83841066004 122119704272 167682132008 242892500041 244239408544 335364264016 485785000082 670728528032 971570000164 1943140000328 3886280000656 4129172500697 7772560001312 8258345001394 16516690002788 33033380005576 66066760011152 132133520022304