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425631136524 = 2231123459730497
BaseRepresentation
bin1100011000110011001…
…01111011101100001100
31111200121222002000100120
412030121211323230030
523433143032332044
6523310544224540
742515351652366
oct6143145735414
91450558060316
10425631136524
11154566753660
126a5a700b150
13311a1852809
141685a2b9d36
15b111bd9519
hex631997bb0c

425631136524 has 96 divisors (see below), whose sum is σ = 1130813139456. Its totient is φ = 123340462080.

The previous prime is 425631136507. The next prime is 425631136537.

425631136524 is nontrivially palindromic in base 10.

425631136524 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13941244 + ... + 13971740.

It is an arithmetic number, because the mean of its divisors is an integer number (11779303536).

Almost surely, 2425631136524 is an apocalyptic number.

425631136524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425631136524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565406569728).

425631136524 is an abundant number, since it is smaller than the sum of its proper divisors (705182002932).

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

425631136524 is a wasteful number, since it uses less digits than its factorization.

425631136524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35135 (or 35133 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 425631136524 in words is "four hundred twenty-five billion, six hundred thirty-one million, one hundred thirty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 4597 9194 13791 18388 27582 30497 50567 55164 60994 91491 101134 105731 121988 151701 182982 202268 211462 303402 317193 335467 365964 422924 606804 634386 670934 701431 1006401 1163041 1268772 1341868 1402862 2012802 2104293 2326082 2805724 3489123 4025604 4208586 4652164 6978246 7715741 8417172 13956492 15431482 23147223 30862964 46294446 92588892 140194709 280389418 420584127 560778836 841168254 1542141799 1682336508 3084283598 3224478307 4626425397 6168567196 6448956614 9252850794 9673434921 12897913228 18505701588 19346869842 35469261377 38693739684 70938522754 106407784131 141877045508 212815568262 425631136524