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457347056064 = 26343107517717
BaseRepresentation
bin1101010011111000000…
…00100100000111000000
31121201111022011122211020
412221330000210013000
524443121321243224
6550034034345440
745020325556203
oct6517400440700
91551438148736
10457347056064
11166a61543408
127477872b280
1334187579202
14181c859193a
15bd6b2adc79
hex6a7c0241c0

457347056064 has 112 divisors (see below), whose sum is σ = 1249779535488. Its totient is φ = 147511784448.

The previous prime is 457347056057. The next prime is 457347056077. The reversal of 457347056064 is 460650743754.

It is a junction number, because it is equal to n+sod(n) for n = 457347055998 and 457347056016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624534 + ... + 1142250.

Almost surely, 2457347056064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457347056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624889767744).

457347056064 is an abundant number, since it is smaller than the sum of its proper divisors (792432479424).

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

457347056064 is a wasteful number, since it uses less digits than its factorization.

457347056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517882 (or 517872 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 457347056064 in words is "four hundred fifty-seven billion, three hundred forty-seven million, fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 107 129 172 192 214 258 321 344 428 516 642 688 856 1032 1284 1376 1712 2064 2568 2752 3424 4128 4601 5136 6848 8256 9202 10272 13803 18404 20544 27606 36808 55212 73616 110424 147232 220848 294464 441696 517717 883392 1035434 1553151 2070868 3106302 4141736 6212604 8283472 12425208 16566944 22261831 24850416 33133888 44523662 49700832 55395719 66785493 89047324 99401664 110791438 133570986 166187157 178094648 221582876 267141972 332374314 356189296 443165752 534283944 664748628 712378592 886331504 1068567888 1329497256 1424757184 1772663008 2137135776 2382015917 2658994512 3545326016 4274271552 4764031834 5317989024 7146047751 9528063668 10635978048 14292095502 19056127336 28584191004 38112254672 57168382008 76224509344 114336764016 152449018688 228673528032 457347056064