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11072207424 = 263292637561
BaseRepresentation
bin10100100111111010…
…00111101001000000
31001120122022102012110
422103331013221000
5140133441114144
65030403455320
7541244132055
oct122375075100
931518272173
1011072207424
114771a77353
122190087540
131075b89b35
1477070902c
1544c0a40b9
hex293f47a40

11072207424 has 112 divisors (see below), whose sum is σ = 30424648320. Its totient is φ = 3549450240.

The previous prime is 11072207371. The next prime is 11072207449. The reversal of 11072207424 is 42470227011.

It is a junction number, because it is equal to n+sod(n) for n = 11072207391 and 11072207400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460604 + ... + 1468164.

Almost surely, 211072207424 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 11072207424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212324160).

11072207424 is an abundant number, since it is smaller than the sum of its proper divisors (19352440896).

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

11072207424 is a wasteful number, since it uses less digits than its factorization.

11072207424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 11072207424 in words is "eleven billion, seventy-two million, two hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 263 348 464 526 696 789 928 1052 1392 1578 1856 2104 2784 3156 4208 5568 6312 7561 7627 8416 12624 15122 15254 16832 22683 22881 25248 30244 30508 45366 45762 50496 60488 61016 90732 91524 120976 122032 181464 183048 219269 241952 244064 362928 366096 438538 483904 488128 657807 725856 732192 877076 1315614 1451712 1464384 1754152 1988543 2631228 3508304 3977086 5262456 5965629 7016608 7954172 10524912 11931258 14033216 15908344 21049824 23862516 31816688 42099648 47725032 57667747 63633376 95450064 115335494 127266752 173003241 190900128 230670988 346006482 381800256 461341976 692012964 922683952 1384025928 1845367904 2768051856 3690735808 5536103712 11072207424