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11379913696 = 251723733299
BaseRepresentation
bin10101001100100101…
…11011001111100000
31002101002022111212001
422212102323033200
5141301224214241
65121115013344
7552001445644
oct124622731740
932332274761
1011379913696
11490a734658
12225713a254
1310c4855458
1479d526c24
154690d6431
hex2a64bb3e0

11379913696 has 72 divisors (see below), whose sum is σ = 23870662200. Its totient is φ = 5339277312.

The previous prime is 11379913691. The next prime is 11379913703. The reversal of 11379913696 is 69631997311.

11379913696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11379913691) by changing a digit.

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, 3447855 + ... + 3451153.

It is an arithmetic number, because the mean of its divisors is an integer number (331536975).

Almost surely, 211379913696 is an apocalyptic number.

11379913696 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 11379913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935331100).

11379913696 is an abundant number, since it is smaller than the sum of its proper divisors (12490748504).

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

11379913696 is a wasteful number, since it uses less digits than its factorization.

11379913696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3691 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 55.

The spelling of 11379913696 in words is "eleven billion, three hundred seventy-nine million, nine hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 373 544 578 746 1156 1492 2312 2984 3299 4624 5968 6341 6598 9248 11936 12682 13196 25364 26392 50728 52784 56083 101456 105568 107797 112166 202912 215594 224332 431188 448664 862376 897328 953411 1230527 1724752 1794656 1906822 2461054 3449504 3813644 4922108 7627288 9844216 15254576 19688432 20918959 30509152 39376864 41837918 83675836 167351672 334703344 355622303 669406688 711244606 1422489212 2844978424 5689956848 11379913696