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45294906276 = 22327924492
BaseRepresentation
bin101010001011110010…
…010110101110100100
311022220200100122102100
4222023302112232210
51220230444000101
632450323012100
73162310231224
oct521362265644
9138820318370
1045294906276
1118233880544
12894120a030
13436b0475b9
1422998b8084
1512a1792e86
hexa8bc96ba4

45294906276 has 81 divisors (see below), whose sum is σ = 116221957761. Its totient is φ = 14873983488.

The previous prime is 45294906263. The next prime is 45294906287. The reversal of 45294906276 is 67260949254.

The square root of 45294906276 is 212826.

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

45294906276 is a `hidden beast` number, since 4 + 5 + 2 + 9 + 4 + 9 + 0 + 627 + 6 = 666.

45294906276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27680307876 + 17614598400 = 166374^2 + 132720^2 .

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, 100879300 + ... + 100879748.

Almost surely, 245294906276 is an apocalyptic number.

45294906276 is the 212826-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45294906276

45294906276 is an abundant number, since it is smaller than the sum of its proper divisors (70927051485).

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

45294906276 is an equidigital number, since it uses as much as digits as its factorization.

45294906276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 45294906276 in words is "forty-five billion, two hundred ninety-four million, nine hundred six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 449 474 711 898 948 1347 1422 1796 2694 2844 4041 5388 6241 8082 12482 16164 18723 24964 35471 37446 56169 70942 74892 106413 112338 141884 201601 212826 224676 319239 403202 425652 604803 638478 806404 1209606 1276956 1814409 2419212 2802209 3628818 5604418 7257636 8406627 11208836 15926479 16813254 25219881 31852958 33626508 47779437 50439762 63705916 95558874 100879524 143338311 191117748 286676622 573353244 1258191841 2516383682 3774575523 5032767364 7549151046 11323726569 15098302092 22647453138 45294906276