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790011011088 = 243213422014429
BaseRepresentation
bin10110111111100000101…
…00110110000000010000
32210112011020002112020100
423133300110312000100
5100420420304323323
61402532005412400
7111035131540245
oct13376024660020
92715136075210
10790011011088
11285050690562
1210913910a100
1359661646050
142a34586b5cc
151583b3ab943
hexb7f0536010

790011011088 has 60 divisors (see below), whose sum is σ = 2381005414060. Its totient is φ = 243080310528.

The previous prime is 790011011071. The next prime is 790011011089. The reversal of 790011011088 is 880110110097.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 271282639104 + 518728371984 = 520848^2 + 720228^2 .

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

It is not an unprimeable number, because it can be changed into a prime (790011011089) 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, 211005343 + ... + 211009086.

Almost surely, 2790011011088 is an apocalyptic number.

790011011088 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

790011011088 is an abundant number, since it is smaller than the sum of its proper divisors (1590994402972).

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

790011011088 is a wasteful number, since it uses less digits than its factorization.

790011011088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422014456 (or 422014447 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

Subtracting 790011011088 from its reverse (880110110097), we obtain a palindrome (90099099009).

The spelling of 790011011088 in words is "seven hundred ninety billion, eleven million, eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 422014429 844028858 1266043287 1688057716 2532086574 3376115432 3798129861 5064173148 5486187577 6752230864 7596259722 10128346296 10972375154 15192519444 16458562731 20256692592 21944750308 30385038888 32917125462 43889500616 49375688193 60770077776 65834250924 87779001232 98751376386 131668501848 197502752772 263337003696 395005505544 790011011088