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11123506992 = 24313211712
BaseRepresentation
bin10100101110000001…
…10011111100110000
31001201012211200222110
422113000303330300
5140240104210432
65035435205320
7542436151353
oct122700637460
931635750873
1011123506992
114798a25494
1221a52a6840
1310836ab900
1477746029a
15451838dcc
hex297033f30

11123506992 has 90 divisors (see below), whose sum is σ = 31142795796. Its totient is φ = 3419694720.

The previous prime is 11123506981. The next prime is 11123507051. The reversal of 11123506992 is 29960532111.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11123506992.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9498567 + ... + 9499737.

Almost surely, 211123506992 is an apocalyptic number.

11123506992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123506992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15571397898).

11123506992 is an abundant number, since it is smaller than the sum of its proper divisors (20019288804).

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

11123506992 is an equidigital number, since it uses as much as digits as its factorization.

11123506992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 11123506992 in words is "eleven billion, one hundred twenty-three million, five hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1171 1352 2028 2342 2704 3513 4056 4684 7026 8112 9368 14052 15223 18736 28104 30446 45669 56208 60892 91338 121784 182676 197899 243568 365352 395798 593697 730704 791596 1187394 1371241 1583192 2374788 2742482 3166384 4113723 4749576 5484964 8227446 9499152 10969928 16454892 17826133 21939856 32909784 35652266 53478399 65819568 71304532 106956798 142609064 213913596 231739729 285218128 427827192 463479458 695219187 855654384 926958916 1390438374 1853917832 2780876748 3707835664 5561753496 11123506992