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252584266740 = 223513224909691
BaseRepresentation
bin1110101100111100110…
…0100000101111110100
3220010222000212012122020
43223033030200233310
513114243033013430
6312011405233140
724151162562061
oct3531714405764
9803860765566
10252584266740
1198136263093
1240b51b627b0
131aa845b3800
14c321b19c68
156884b3cb10
hex3acf320bf4

252584266740 has 72 divisors (see below), whose sum is σ = 765823570848. Its totient is φ = 62174586240.

The previous prime is 252584266733. The next prime is 252584266769. The reversal of 252584266740 is 47662485252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12444706 + ... + 12464985.

It is an arithmetic number, because the mean of its divisors is an integer number (10636438484).

Almost surely, 2252584266740 is an apocalyptic number.

252584266740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252584266740 is an abundant number, since it is smaller than the sum of its proper divisors (513239304108).

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

252584266740 is a wasteful number, since it uses less digits than its factorization.

252584266740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24909729 (or 24909714 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 252584266740 in words is "two hundred fifty-two billion, five hundred eighty-four million, two hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 24909691 49819382 74729073 99638764 124548455 149458146 249096910 298916292 323825983 373645365 498193820 647651966 747290730 971477949 1295303932 1494581460 1619129915 1942955898 3238259830 3885911796 4209737779 4857389745 6476519660 8419475558 9714779490 12629213337 16838951116 19429558980 21048688895 25258426674 42097377790 50516853348 63146066685 84194755580 126292133370 252584266740