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2425636056504 = 2331769110098527
BaseRepresentation
bin100011010011000011001…
…011001110110110111000
322120212222202011211021010
4203103003023032312320
5304220200312302004
65054153302513520
7340150344201423
oct43230313166670
98525882154233
102425636056504
11855785354941
123321307358a0
1314797611a3cb
148558968a9ba
154316a339a89
hex234c32cedb8

2425636056504 has 128 divisors (see below), whose sum is σ = 6437220940800. Its totient is φ = 759040450560.

The previous prime is 2425636056499. The next prime is 2425636056539. The reversal of 2425636056504 is 4056506365242.

2425636056504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24256360565042 (a number of 26 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, 284461089 + ... + 284469615.

It is an arithmetic number, because the mean of its divisors is an integer number (50290788600).

Almost surely, 22425636056504 is an apocalyptic number.

2425636056504 is a gapful number since it is divisible by the number (24) 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 2425636056504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218610470400).

2425636056504 is an abundant number, since it is smaller than the sum of its proper divisors (4011584884296).

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

2425636056504 is a wasteful number, since it uses less digits than its factorization.

2425636056504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10253 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 2425636056504 in words is "two trillion, four hundred twenty-five billion, six hundred thirty-six million, fifty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 691 1009 1382 2018 2073 2764 3027 4036 4146 5528 6054 8072 8292 8527 11747 12108 16584 17054 17153 23494 24216 25581 34108 34306 35241 46988 51162 51459 68216 68612 70482 93976 102324 102918 137224 140964 144959 204648 205836 281928 289918 411672 434877 579836 697219 869754 1159672 1394438 1739508 2091657 2788876 3479016 4183314 5577752 5892157 8366628 8603743 11784314 11852723 16733256 17207486 17676471 23568628 23705446 25811229 34414972 35352942 35558169 47137256 47410892 51622458 68829944 70705884 71116338 94821784 100166669 103244916 141411768 142232676 146263631 200333338 206489832 284465352 292527262 300500007 400666676 438790893 585054524 601000014 801333352 877581786 1170109048 1202000028 1755163572 2404000056 3510327144 5945186413 11890372826 17835559239 23780745652 35671118478 47561491304 71342236956 101068169021 142684473912 202136338042 303204507063 404272676084 606409014126 808545352168 1212818028252 2425636056504