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11643379104 = 253731095573
BaseRepresentation
bin10101101011111111…
…11101110110100000
31010001110001221110010
422311333331312200
5142321201112404
65203210004520
7561351042450
oct126577756640
933043057403
1011643379104
114a35425065
12230b416740
131137300b46
147c6509d60
154822ca189
hex2b5ffdda0

11643379104 has 96 divisors (see below), whose sum is σ = 34947642240. Its totient is φ = 3325012992.

The previous prime is 11643379103. The next prime is 11643379117. The reversal of 11643379104 is 40197334611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11643379103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086462 + ... + 2092034.

It is an arithmetic number, because the mean of its divisors is an integer number (364037940).

Almost surely, 211643379104 is an apocalyptic number.

11643379104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11643379104 is an abundant number, since it is smaller than the sum of its proper divisors (23304263136).

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

11643379104 is a wasteful number, since it uses less digits than its factorization.

11643379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 11643379104 in words is "eleven billion, six hundred forty-three million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3109 5573 6218 9327 11146 12436 16719 18654 21763 22292 24872 33438 37308 39011 43526 44584 49744 65289 66876 74616 78022 87052 89168 99488 117033 130578 133752 149232 156044 174104 178336 234066 261156 267504 298464 312088 348208 468132 522312 535008 624176 696416 936264 1044624 1248352 1872528 2089248 3745056 17326457 34652914 51979371 69305828 103958742 121285199 138611656 207917484 242570398 277223312 363855597 415834968 485140796 554446624 727711194 831669936 970281592 1455422388 1663339872 1940563184 2910844776 3881126368 5821689552 11643379104