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425336633524 = 22111715716092251
BaseRepresentation
bin1100011000010000000…
…10011111100010110100
31111122212102220201012001
412030020002133202310
523432042134233044
6523221424105044
742505144506145
oct6141002374264
91448772821161
10425336633524
11154425494150
126a524465184
133115582aa9a
141682d137acc
15b0e5e142d4
hex630809f8b4

425336633524 has 96 divisors (see below), whose sum is σ = 866170005120. Its totient is φ = 180610560000.

The previous prime is 425336633509. The next prime is 425336633573.

425336633524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4253366335242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 188953399 + ... + 188955649.

It is an arithmetic number, because the mean of its divisors is an integer number (9022604220).

Almost surely, 2425336633524 is an apocalyptic number.

425336633524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

425336633524 is an abundant number, since it is smaller than the sum of its proper divisors (440833371596).

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

425336633524 is a wasteful number, since it uses less digits than its factorization.

425336633524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4047 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 46.

The spelling of 425336633524 in words is "four hundred twenty-five billion, three hundred thirty-six million, six hundred thirty-three thousand, five hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 157 187 314 374 628 748 1609 1727 2251 2669 3218 3454 4502 5338 6436 6908 9004 10676 17699 24761 27353 29359 35398 38267 49522 54706 58718 70796 76534 99044 109412 117436 153068 252613 300883 353407 420937 505226 601766 706814 841874 1010452 1203532 1413628 1683748 2778743 3621859 3887477 4294421 5557486 6007919 7243718 7774954 8588842 11114972 12015838 14487436 15549908 17177684 24031676 39840449 47238631 61571603 66087109 79680898 94477262 123143206 132174218 159361796 188954524 246286412 264348436 568631863 677287633 1137263726 1354575266 2274527452 2709150532 6254950493 9666741671 12509900986 19333483342 25019801972 38666966684 106334158381 212668316762 425336633524