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132081325816896 = 26324788612
BaseRepresentation
bin11110000010000010010100…
…100000011011110001000000
3122022122211222200201200121100
4132002002110200123301000
5114303010023402120041
61144525153505254400
736551363245225521
oct3602022440336100
9568584880650540
10132081325816896
11390a3415085a35
12129922b4934400
1358912a58282b1
142488aad908848
151040b121346b6
hex78209481bc40

132081325816896 has 63 divisors (see below), whose sum is σ = 378588063038133. Its totient is φ = 44027016664320.

The previous prime is 132081325816879. The next prime is 132081325816907. The reversal of 132081325816896 is 698618523180231.

The square root of 132081325816896 is 11492664.

It is a perfect power (a square), and thus also a powerful number.

132081325816896 is a `hidden beast` number, since 1 + 3 + 208 + 1 + 325 + 8 + 16 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29631300319296 + 102450025497600 = 5443464^2 + 10121760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 275584506 + ... + 276063366.

Almost surely, 2132081325816896 is an apocalyptic number.

132081325816896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132081325816896 is the 11492664-th square number.

It is an amenable number.

132081325816896 is an abundant number, since it is smaller than the sum of its proper divisors (246506737221237).

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

132081325816896 is an frugal number, since it uses more digits than its factorization.

132081325816896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957740 (or 478866 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 132081325816896 in words is "one hundred thirty-two trillion, eighty-one billion, three hundred twenty-five million, eight hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 478861 957722 1436583 1915444 2873166 3830888 4309749 5746332 7661776 8619498 11492664 15323552 17238996 22985328 30647104 34477992 45970656 68955984 91941312 137911968 275823936 229307857321 458615714642 687923571963 917231429284 1375847143926 1834462858568 2063770715889 2751694287852 3668925717136 4127541431778 5503388575704 7337851434272 8255082863556 11006777151408 14675702868544 16510165727112 22013554302816 33020331454224 44027108605632 66040662908448 132081325816896