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11687983307 = 71113101193599
BaseRepresentation
bin10101110001010100…
…00111100011001011
31010011120000001220122
422320222013203023
5142414110431212
65211442013455
7562432135040
oct127052074313
933146001818
1011687983307
114a5861a940
12232234728b
13114361a270
147cc3db1c7
1548618b272
hex2b8a878cb

11687983307 has 64 divisors (see below), whose sum is σ = 15957043200. Its totient is φ = 8266752000.

The previous prime is 11687983267. The next prime is 11687983319. The reversal of 11687983307 is 70338978611.

11687983307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11687983307 - 224 = 11671206091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11687983007) 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 63 ways as a sum of consecutive naturals, for example, 19512194 + ... + 19512792.

It is an arithmetic number, because the mean of its divisors is an integer number (249328800).

Almost surely, 211687983307 is an apocalyptic number.

11687983307 is a deficient number, since it is larger than the sum of its proper divisors (4269059893).

11687983307 is a wasteful number, since it uses less digits than its factorization.

11687983307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924.

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 11687983307 in words is "eleven billion, six hundred eighty-seven million, nine hundred eighty-three thousand, three hundred seven".

Divisors: 1 7 11 13 77 91 101 143 193 599 707 1001 1111 1313 1351 2123 2509 4193 6589 7777 7787 9191 14443 14861 17563 19493 27599 46123 54509 60499 85657 101101 115607 136451 193193 214423 253409 423493 599599 665489 786487 809249 1271677 1500961 1502891 1773863 2787499 4658423 5505409 8651357 8901739 10520237 11676307 16531801 19512493 60559499 81734149 115722607 128439377 151791991 899075639 1062543937 1669711901 11687983307