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252638222792 = 231924721992
BaseRepresentation
bin1110101101001001101…
…0010101100111001000
3220011002210101110102112
43223102122111213020
513114400341112132
6312021013521452
724152416314254
oct3532232254710
9804083343375
10252638222792
119816376606a
1240b68043288
131aa92825777
14c328d63264
156889749ab2
hex3ad26959c8

252638222792 has 108 divisors (see below), whose sum is σ = 513383347755. Its totient is φ = 116535985632.

The previous prime is 252638222791. The next prime is 252638222797. The reversal of 252638222792 is 297222836252.

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.

252638222792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 126319111396 + 126319111396 = 355414^2 + 355414^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=355414.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252638222792.

It is not an unprimeable number, because it can be changed into a prime (252638222791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1269538709 + ... + 1269538907.

Almost surely, 2252638222792 is an apocalyptic number.

It is an amenable number.

252638222792 is an abundant number, since it is smaller than the sum of its proper divisors (260745124963).

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

252638222792 is an equidigital number, since it uses as much as digits as its factorization.

252638222792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 267 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

Multiplying 252638222792 by its sum of digits (50), we get a square (12631911139600 = 35541402).

The spelling of 252638222792 in words is "two hundred fifty-two billion, six hundred thirty-eight million, two hundred twenty-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 19 38 47 76 94 152 188 199 361 376 398 722 796 893 1444 1592 1786 2209 2888 3572 3781 4418 7144 7562 8836 9353 15124 16967 17672 18706 30248 33934 37412 39601 41971 67868 71839 74824 79202 83942 135736 143678 158404 167884 177707 287356 316808 335768 355414 439591 574712 710828 752419 797449 879182 1421656 1504838 1594898 1758364 1861247 3009676 3189796 3376433 3516728 3722494 6019352 6379592 6752866 7444988 8352229 13505732 14295961 14889976 16704458 27011464 28591922 33408916 35363693 57183844 66817832 70727386 87478609 114367688 141454772 158692351 174957218 282909544 317384702 349914436 634769404 671910167 699828872 1269538808 1343820334 1662093571 2687640668 3324187142 5375281336 6648374284 13296748568 31579777849 63159555698 126319111396 252638222792