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11379704952 = 23371112748487
BaseRepresentation
bin10101001100100100…
…01000010001111000
31002101001220220111210
422212102020101320
5141301201024302
65121110323120
7551666616240
oct124622102170
932331826453
1011379704952
11490a601840
1222570594a0
1310c47b1435
1479d4b0b20
1546909466c
hex2a6488478

11379704952 has 128 divisors (see below), whose sum is σ = 35749232640. Its totient is φ = 2932433280.

The previous prime is 11379704933. The next prime is 11379704977. The reversal of 11379704952 is 25940797311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210453 + ... + 258939.

It is an arithmetic number, because the mean of its divisors is an integer number (279290880).

Almost surely, 211379704952 is an apocalyptic number.

11379704952 is a gapful number since it is divisible by the number (12) 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 11379704952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874616320).

11379704952 is an abundant number, since it is smaller than the sum of its proper divisors (24369527688).

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

11379704952 is a wasteful number, since it uses less digits than its factorization.

11379704952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48641 (or 48637 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 11379704952 in words is "eleven billion, three hundred seventy-nine million, seven hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 127 132 154 168 231 254 264 308 381 462 508 616 762 889 924 1016 1397 1524 1778 1848 2667 2794 3048 3556 4191 5334 5588 7112 8382 9779 10668 11176 16764 19558 21336 29337 33528 39116 48487 58674 78232 96974 117348 145461 193948 234696 290922 339409 387896 533357 581844 678818 1018227 1066714 1163688 1357636 1600071 2036454 2133428 2715272 3200142 3733499 4072908 4266856 6157849 6400284 7466998 8145816 11200497 12315698 12800568 14933996 18473547 22400994 24631396 29867992 36947094 43104943 44801988 49262792 67736339 73894188 86209886 89603976 129314829 135472678 147788376 172419772 203209017 258629658 270945356 344839544 406418034 474154373 517259316 541890712 812836068 948308746 1034518632 1422463119 1625672136 1896617492 2844926238 3793234984 5689852476 11379704952