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426242050668 = 2232717439226643
BaseRepresentation
bin1100011001111100000…
…00011000101001101100
31111202012112121200000100
412030332000120221230
523440420431110133
6523451330231100
742536450436240
oct6147600305154
91452175550010
10426242050668
1115484a586485
126a737725490
133126b2a0085
14168b74a4420
15b14a660e13
hex633e018a6c

426242050668 has 144 divisors (see below), whose sum is σ = 1306774909440. Its totient is φ = 114358113792.

The previous prime is 426242050667. The next prime is 426242050687. The reversal of 426242050668 is 866050242624.

426242050668 is a `hidden beast` number, since 4 + 2 + 62 + 4 + 20 + 506 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (426242050667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1767355 + ... + 1993997.

It is an arithmetic number, because the mean of its divisors is an integer number (9074825760).

Almost surely, 2426242050668 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 426242050668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653387454720).

426242050668 is an abundant number, since it is smaller than the sum of its proper divisors (880532858772).

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

426242050668 is a wasteful number, since it uses less digits than its factorization.

426242050668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227116 (or 227111 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 426242050668 in words is "four hundred twenty-six billion, two hundred forty-two million, fifty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 439 476 612 714 878 1071 1317 1428 1756 2142 2634 3073 3951 4284 5268 6146 7463 7902 9219 12292 14926 15804 18438 22389 27657 29852 36876 44778 52241 55314 67167 89556 104482 110628 134334 156723 208964 226643 268668 313446 453286 470169 626892 679929 906572 940338 1359858 1586501 1880676 2039787 2719716 3173002 3852931 4079574 4759503 6346004 7705862 8159148 9519006 11558793 14278509 15411724 19038012 23117586 26970517 28557018 34676379 46235172 53941034 57114036 69352758 80911551 99496277 107882068 138705516 161823102 198992554 242734653 298488831 323646204 397985108 485469306 596977662 696473939 895466493 970938612 1193955324 1392947878 1691436709 1790932986 2089421817 2785895756 3382873418 3581865972 4178843634 5074310127 6268265451 6765746836 8357687268 10148620254 11840056963 12536530902 15222930381 20297240508 23680113926 25073061804 30445860762 35520170889 47360227852 60891721524 71040341778 106560512667 142080683556 213121025334 426242050668