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11756137120 = 255713807427
BaseRepresentation
bin10101111001011100…
…00110101010100000
31010100022020122100221
422330232012222200
5143034032341440
65222314452424
7564220342150
oct127456065240
933308218327
1011756137120
114a9303a902
122341134114
131154790670
147d749c760
1548c14ed4a
hex2bcb86aa0

11756137120 has 96 divisors (see below), whose sum is σ = 34183271808. Its totient is φ = 3720619008.

The previous prime is 11756137117. The next prime is 11756137139. The reversal of 11756137120 is 2173165711.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389154 + ... + 418273.

It is an arithmetic number, because the mean of its divisors is an integer number (356075748).

Almost surely, 211756137120 is an apocalyptic number.

11756137120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11756137120 is an abundant number, since it is smaller than the sum of its proper divisors (22427134688).

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

11756137120 is a wasteful number, since it uses less digits than its factorization.

11756137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807462 (or 807454 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 11756137120 in words is "eleven billion, seven hundred fifty-six million, one hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 807427 1614854 3229708 4037135 5651989 6459416 8074270 10496551 11303978 12918832 16148540 20993102 22607956 25837664 28259945 32297080 41986204 45215912 52482755 56519890 64594160 73475857 83972408 90431824 104965510 113039780 129188320 146951714 167944816 180863648 209931020 226079560 293903428 335889632 367379285 419862040 452159120 587806856 734758570 839724080 904318240 1175613712 1469517140 1679448160 2351227424 2939034280 5878068560 11756137120