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426225853296 = 243253311179573
BaseRepresentation
bin1100011001111010000…
…10100110001101110000
31111202011102010202101200
412030331002212031300
523440402304301141
6523445551131200
742536162655465
oct6147502461560
91452142122350
10426225853296
11154841423121
126a732213b00
1331267b1b729
14168b528966c
15b149011ab6
hex633d0a6370

426225853296 has 120 divisors (see below), whose sum is σ = 1219261489056. Its totient is φ = 138945630720.

The previous prime is 426225853271. The next prime is 426225853303. The reversal of 426225853296 is 692358522624.

426225853296 is a `hidden beast` number, since 4 + 2 + 6 + 22 + 585 + 32 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283766 + ... + 2463338.

Almost surely, 2426225853296 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 426225853296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609630744528).

426225853296 is an abundant number, since it is smaller than the sum of its proper divisors (793035635760).

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

426225853296 is a wasteful number, since it uses less digits than its factorization.

426225853296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179951 (or 179942 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 426225853296 in words is "four hundred twenty-six billion, two hundred twenty-five million, eight hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 311 318 424 477 622 636 848 933 954 1244 1272 1866 1908 2488 2544 2799 3732 3816 4976 5598 7464 7632 11196 14928 16483 22392 32966 44784 49449 65932 98898 131864 148347 179573 197796 263728 296694 359146 395592 538719 593388 718292 791184 1077438 1186776 1436584 1616157 2154876 2373552 2873168 3232314 4309752 6464628 8619504 9517369 12929256 19034738 25858512 28552107 38069476 55847203 57104214 76138952 85656321 111694406 114208428 152277904 167541609 171312642 223388812 228416856 335083218 342625284 446777624 456833712 502624827 670166436 685250568 893555248 1005249654 1340332872 1370501136 2010499308 2680665744 2959901759 4020998616 5919803518 8041997232 8879705277 11839607036 17759410554 23679214072 26639115831 35518821108 47358428144 53278231662 71037642216 106556463324 142075284432 213112926648 426225853296