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10379411136 = 263224174771
BaseRepresentation
bin10011010101010100…
…10011111011000000
3222210100200201100200
421222222103323000
5132224112124021
64433534445200
7515132352603
oct115252237300
928710621320
1010379411136
1144469a8236
122018063800
13c954a05c3
147066c833a
1540b356126
hex26aa93ec0

10379411136 has 84 divisors (see below), whose sum is σ = 29874554424. Its totient is φ = 3445401600.

The previous prime is 10379411113. The next prime is 10379411209. The reversal of 10379411136 is 63111497301.

10379411136 is a `hidden beast` number, since 103 + 7 + 9 + 411 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10379411136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101431 + ... + 176201.

Almost surely, 210379411136 is an apocalyptic number.

10379411136 is a gapful number since it is divisible by the number (16) 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 10379411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937277212).

10379411136 is an abundant number, since it is smaller than the sum of its proper divisors (19495143288).

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

10379411136 is a wasteful number, since it uses less digits than its factorization.

10379411136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75030 (or 75017 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10379411136 in words is "ten billion, three hundred seventy-nine million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 964 1446 1928 2169 2892 3856 4338 5784 7712 8676 11568 15424 17352 23136 34704 46272 69408 74771 138816 149542 224313 299084 448626 598168 672939 897252 1196336 1345878 1794504 2392672 2691756 3589008 4785344 5383512 7178016 10767024 14356032 18019811 21534048 36039622 43068096 54059433 72079244 108118866 144158488 162178299 216237732 288316976 324356598 432475464 576633952 648713196 864950928 1153267904 1297426392 1729901856 2594852784 3459803712 5189705568 10379411136