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426408572376 = 233315722832
BaseRepresentation
bin1100011010001111110…
…11100111010111011000
31111202122010221211212000
412031013323213113120
523441241043304001
6523520035321000
742543542030253
oct6150773472730
91452563854760
10426408572376
11154925582726
126a783450160
1331296935127
14168d165009a
15b15a0a5a86
hex6347ee75d8

426408572376 has 144 divisors (see below), whose sum is σ = 1196287806600. Its totient is φ = 140731815744.

The previous prime is 426408572323. The next prime is 426408572377. The reversal of 426408572376 is 673275804624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

426408572376 is a `hidden beast` number, since 4 + 2 + 64 + 0 + 8 + 572 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426408572377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1506743931 + ... + 1506744213.

Almost surely, 2426408572376 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 426408572376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598143903300).

426408572376 is an abundant number, since it is smaller than the sum of its proper divisors (769879234224).

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

426408572376 is an equidigital number, since it uses as much as digits as its factorization.

426408572376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

Multiplying 426408572376 by its sum of digits (54), we get a square (23026062908304 = 47985482).

426408572376 divided by its sum of digits (54) gives a square (7896455044 = 888622).

The spelling of 426408572376 in words is "four hundred twenty-six billion, four hundred eight million, five hundred seventy-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 283 314 471 566 628 849 942 1132 1256 1413 1698 1884 2264 2547 2826 3396 3768 4239 5094 5652 6792 7641 8478 10188 11304 15282 16956 20376 24649 30564 33912 44431 49298 61128 73947 80089 88862 98596 133293 147894 160178 177724 197192 221841 240267 266586 295788 320356 355448 399879 443682 480534 533172 591576 640712 665523 720801 799758 887364 961068 1066344 1199637 1331046 1441602 1599516 1774728 1922136 2162403 2399274 2662092 2883204 3199032 4324806 4798548 5324184 5766408 6975667 8649612 9597096 12573973 13951334 17299224 20927001 25147946 27902668 37721919 41854002 50295892 55805336 62781003 75443838 83708004 100591784 113165757 125562006 150887676 167416008 188343009 226331514 251124012 301775352 339497271 376686018 452663028 502248024 678994542 753372036 905326056 1357989084 1506744072 1974113761 2715978168 3948227522 5922341283 7896455044 11844682566 15792910088 17767023849 23689365132 35534047698 47378730264 53301071547 71068095396 106602143094 142136190792 213204286188 426408572376