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991125622928 = 247312293124493
BaseRepresentation
bin11100110110000111011…
…00001101000010010000
310111202021020201100201202
432123003230031002100
5112214311124413203
62035152233450332
7131415005535410
oct16330354150220
93452236640652
10991125622928
11352374637071
12140105b709a8
137260286094c
1435d839b2640
151abac601388
hexe6c3b0d090

991125622928 has 80 divisors (see below), whose sum is σ = 2266436176896. Its totient is φ = 410883356160.

The previous prime is 991125622909. The next prime is 991125622933. The reversal of 991125622928 is 829226521199.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 7899050 + ... + 8023542.

Almost surely, 2991125622928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991125622928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133218088448).

991125622928 is an abundant number, since it is smaller than the sum of its proper divisors (1275310553968).

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

991125622928 is a wasteful number, since it uses less digits than its factorization.

991125622928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126832 (or 126826 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 56.

The spelling of 991125622928 in words is "nine hundred ninety-one billion, one hundred twenty-five million, six hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 2293 3472 4586 9172 16051 18344 32102 36688 64204 71083 124493 128408 142166 248986 256816 284332 497581 497972 568664 871451 995162 995944 1137328 1742902 1990324 1991888 3485804 3859283 3980648 6971608 7718566 7961296 13943216 15437132 27014981 30874264 54029962 61748528 108059924 216119848 285462449 432239696 570924898 1141849796 1998237143 2283699592 3996474286 4567399184 7992948572 8849335919 15985897144 17698671838 31971794288 35397343676 61945351433 70794687352 123890702866 141589374704 247781405732 495562811464 991125622928