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2636000964 = 22324321992
BaseRepresentation
bin1001110100011110…
…0010111011000100
320210201002201112100
42131013202323010
520344304012324
61113322352100
7122215432002
oct23507427304
96721081470
102636000964
111132a545a3
1261695b630
133301694ac
141b0133a72
151066424c9
hex9d1e2ec4

2636000964 has 81 divisors (see below), whose sum is σ = 6856239663. Its totient is φ = 853920144.

The previous prime is 2636000957. The next prime is 2636000993. The reversal of 2636000964 is 4690006362.

The square root of 2636000964 is 51342.

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

2636000964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13246137 + ... + 13246335.

Almost surely, 22636000964 is an apocalyptic number.

2636000964 is the 51342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2636000964

2636000964 is an abundant number, since it is smaller than the sum of its proper divisors (4220238699).

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

2636000964 is a wasteful number, since it uses less digits than its factorization.

2636000964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The cubic root of 2636000964 is about 1381.3864390136.

Multiplying 2636000964 by its sum of digits (36), we get a square (94896034704 = 3080522).

2636000964 divided by its sum of digits (36) gives a square (73222249 = 85572).

Multiplying 2636000964 by its product of nonzero digits (46656), we get a square (122985260976384 = 110898722).

The spelling of 2636000964 in words is "two billion, six hundred thirty-six million, nine hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 199 258 387 398 516 597 774 796 1194 1548 1791 1849 2388 3582 3698 5547 7164 7396 8557 11094 16641 17114 22188 25671 33282 34228 39601 51342 66564 77013 79202 102684 118803 154026 158404 237606 308052 356409 367951 475212 712818 735902 1103853 1425636 1471804 1702843 2207706 3311559 3405686 4415412 5108529 6623118 6811372 10217058 13246236 15325587 20434116 30651174 61302348 73222249 146444498 219666747 292888996 439333494 659000241 878666988 1318000482 2636000964