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11857249880 = 2357388910889
BaseRepresentation
bin10110000101011111…
…10100011001011000
31010121100111200222222
423002233310121120
5143240423444010
65240330003212
7566555650430
oct130257643130
933540450888
1011857249880
115035121373
12236ab76508
13116c7037b8
14806a9d2c0
15495e74355
hex2c2bf4658

11857249880 has 64 divisors (see below), whose sum is σ = 30500712000. Its totient is φ = 4063924224.

The previous prime is 11857249841. The next prime is 11857249907. The reversal of 11857249880 is 8894275811.

11857249880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1088912-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083476 + ... + 1094364.

It is an arithmetic number, because the mean of its divisors is an integer number (476573625).

Almost surely, 211857249880 is an apocalyptic number.

11857249880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11857249880 is an abundant number, since it is smaller than the sum of its proper divisors (18643462120).

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

11857249880 is a wasteful number, since it uses less digits than its factorization.

11857249880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796 (or 14792 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 53.

The spelling of 11857249880 in words is "eleven billion, eight hundred fifty-seven million, two hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3889 7778 10889 15556 19445 21778 27223 31112 38890 43556 54445 54446 76223 77780 87112 108890 108892 136115 152446 155560 217780 217784 272230 304892 381115 435560 544460 609784 762230 1088920 1524460 3048920 42347321 84694642 169389284 211736605 296431247 338778568 423473210 592862494 846946420 1185724988 1482156235 1693892840 2371449976 2964312470 5928624940 11857249880