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10906460356 = 221124721012
BaseRepresentation
bin10100010100001001…
…10110000011000100
31001011002102120222011
422022010312003010
5134314023212411
65002123144004
7534162245341
oct121204660304
931132376864
1010906460356
11469745a100
122144675004
13104a73654c
147566c17c8
1543c763c21
hex28a1360c4

10906460356 has 81 divisors (see below), whose sum is σ = 21649353901. Its totient is φ = 4803964000.

The previous prime is 10906460339. The next prime is 10906460423. The reversal of 10906460356 is 65306460901.

The square root of 10906460356 is 104434.

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

It can be written as a sum of positive squares in only one way, i.e., 10478797956 + 427662400 = 102366^2 + 20680^2 .

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, 107984706 + ... + 107984806.

Almost surely, 210906460356 is an apocalyptic number.

10906460356 is the 104434-th square number.

It is an amenable number.

10906460356 is a deficient number, since it is larger than the sum of its proper divisors (10742893545).

10906460356 is a wasteful number, since it uses less digits than its factorization.

10906460356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 10906460356 in words is "ten billion, nine hundred six million, four hundred sixty thousand, three hundred fifty-six".

Divisors: 1 2 4 11 22 44 47 94 101 121 188 202 242 404 484 517 1034 1111 2068 2209 2222 4418 4444 4747 5687 8836 9494 10201 11374 12221 18988 20402 22748 24299 24442 40804 48598 48884 52217 97196 104434 112211 208868 223109 224422 267289 446218 448844 479447 534578 574387 892436 958894 1069156 1148774 1234321 1917788 2297548 2454199 2468642 4908398 4937284 5273917 9816796 10547834 21095668 22534009 26996189 45068018 53992378 58013087 90136036 107984756 116026174 232052348 247874099 495748198 991496396 2726615089 5453230178 10906460356