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425652256524 = 2231122697271499
BaseRepresentation
bin1100011000110101101…
…10011111111100001100
31111200200102211000112210
412030122312133330030
523433213434202044
6523313021030420
742516026324625
oct6143266377414
91450612730483
10425652256524
11154577669400
126a5b20b5410
13311a6038961
141685d016a4c
15b1139ac1b9
hex631ad9ff0c

425652256524 has 144 divisors (see below), whose sum is σ = 1097984160000. Its totient is φ = 128243660160.

The previous prime is 425652256499. The next prime is 425652256559.

425652256524 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283956727 + ... + 283958225.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890000).

Almost surely, 2425652256524 is an apocalyptic number.

425652256524 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 425652256524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548992080000).

425652256524 is an abundant number, since it is smaller than the sum of its proper divisors (672331903476).

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

425652256524 is a wasteful number, since it uses less digits than its factorization.

425652256524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2511 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

The spelling of 425652256524 in words is "four hundred twenty-five billion, six hundred fifty-two million, two hundred fifty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 269 363 484 538 726 727 807 1076 1452 1454 1499 1614 2181 2908 2959 2998 3228 4362 4497 5918 5996 7997 8724 8877 8994 11836 15994 16489 17754 17988 23991 31988 32549 32978 35508 47982 49467 65098 65956 87967 95964 97647 98934 130196 175934 181379 195294 195563 197868 263901 351868 362758 390588 391126 403231 527802 544137 586689 725516 782252 806462 1055604 1088274 1089773 1173378 1209693 1612924 2151193 2176548 2179546 2346756 2419386 3269319 4302386 4359092 4435541 4838772 6453579 6538638 8604772 8871082 11987503 12907158 13077276 13306623 17742164 23663123 23975006 25814316 26613246 35962509 47326246 47950012 48790951 53226492 70989369 71925018 94652492 97581902 131862533 141978738 143850036 146372853 195163804 263725066 283957476 292745706 293148937 395587599 527450132 585491412 586297874 791175198 879446811 1172595748 1582350396 1758893622 3224638307 3517787244 6449276614 9673914921 12898553228 19347829842 35471021377 38695659684 70942042754 106413064131 141884085508 212826128262 425652256524