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11738761760 = 255112606341
BaseRepresentation
bin10101110111010111…
…10100101000100000
31010022002112212212002
422323223310220200
5143020110334020
65220454223132
7563616554135
oct127353645040
933262485762
1011738761760
114a84252500
122337354aa8
131150cb8a9b
147d505858c
1548a86b975
hex2bbaf4a20

11738761760 has 72 divisors (see below), whose sum is σ = 30483237708. Its totient is φ = 4268633600.

The previous prime is 11738761757. The next prime is 11738761799. The reversal of 11738761760 is 6716783711.

11738761760 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 2 ways, for example, as 11725424656 + 13337104 = 108284^2 + 3652^2 .

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 11 ways as a sum of consecutive naturals, for example, 283811 + ... + 322530.

Almost surely, 211738761760 is an apocalyptic number.

11738761760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11738761760 is an abundant number, since it is smaller than the sum of its proper divisors (18744475948).

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

11738761760 is a wasteful number, since it uses less digits than its factorization.

11738761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606378 (or 606359 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 47.

The spelling of 11738761760 in words is "eleven billion, seven hundred thirty-eight million, seven hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 606341 1212682 2425364 3031705 4850728 6063410 6669751 9701456 12126820 13339502 19402912 24253640 26679004 33348755 48507280 53358008 66697510 73367261 97014560 106716016 133395020 146734522 213432032 266790040 293469044 366836305 533580080 586938088 733672610 1067160160 1173876176 1467345220 2347752352 2934690440 5869380880 11738761760