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76650352164 = 223817092
BaseRepresentation
bin100011101100010110…
…1111000111000100100
321022211220011100000000
41013120231320320210
52223434442232124
655113535021300
75352316146321
oct1073055707044
9238756140000
1076650352164
112a564142091
1212a3206a830
1372c718b789
1439d1d57b48
151ed93b06c9
hex11d8b78e24

76650352164 has 81 divisors (see below), whose sum is σ = 201314748817. Its totient is φ = 25535167056.

The previous prime is 76650352111. The next prime is 76650352171. The reversal of 76650352164 is 46125305667.

The square root of 76650352164 is 276858.

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

76650352164 is a `hidden beast` number, since 7 + 6 + 65 + 0 + 3 + 521 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14410081764 + 62240270400 = 120042^2 + 249480^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44850142 + ... + 44851850.

Almost surely, 276650352164 is an apocalyptic number.

76650352164 is the 276858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76650352164

76650352164 is an abundant number, since it is smaller than the sum of its proper divisors (124664396653).

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

76650352164 is an frugal number, since it uses more digits than its factorization.

76650352164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 76650352164 in words is "seventy-six billion, six hundred fifty million, three hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1709 2187 2916 3418 4374 5127 6561 6836 8748 10254 13122 15381 20508 26244 30762 46143 61524 92286 138429 184572 276858 415287 553716 830574 1245861 1661148 2491722 2920681 3737583 4983444 5841362 7475166 8762043 11212749 11682724 14950332 17524086 22425498 26286129 35048172 44850996 52572258 78858387 105144516 157716774 236575161 315433548 473150322 709725483 946300644 1419450966 2129176449 2838901932 4258352898 6387529347 8516705796 12775058694 19162588041 25550117388 38325176082 76650352164