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11921969088 = 263231667673
BaseRepresentation
bin10110001101001101…
…01100111111000000
31010202212021210001200
423012212230333000
5143404011002323
65251001101200
7601303031241
oct130646547700
933685253050
1011921969088
115068705917
122388787800
13117cc437a3
14811508cc8
1549b9aa443
hex2c69acfc0

11921969088 has 84 divisors (see below), whose sum is σ = 35274552768. Its totient is φ = 3845790720.

The previous prime is 11921969071. The next prime is 11921969123. The reversal of 11921969088 is 88096912911.

11921969088 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 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, 315981 + ... + 351692.

It is an arithmetic number, because the mean of its divisors is an integer number (419935152).

Almost surely, 211921969088 is an apocalyptic number.

11921969088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11921969088 is an abundant number, since it is smaller than the sum of its proper divisors (23352583680).

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

11921969088 is a wasteful number, since it uses less digits than its factorization.

11921969088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667722 (or 667709 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 11921969088 in words is "eleven billion, nine hundred twenty-one million, nine hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 667673 1335346 2003019 2670692 4006038 5341384 6009057 8012076 10682768 12018114 16024152 20697863 21365536 24036228 32048304 41395726 42731072 48072456 62093589 64096608 82791452 96144912 124187178 128193216 165582904 186280767 192289824 248374356 331165808 372561534 384579648 496748712 662331616 745123068 993497424 1324663232 1490246136 1986994848 2980492272 3973989696 5960984544 11921969088