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11109842976 = 253199358067
BaseRepresentation
bin10100101100011001…
…01100000000100000
31001200021010111110210
422112030230000200
5140223104433401
65034230254120
7542212051521
oct122614540040
931607114423
1011109842976
114791242511
1221a07b7340
1310809063ab
14775704848
1545053a4d6
hex29632c020

11109842976 has 48 divisors (see below), whose sum is σ = 29178473184. Its totient is φ = 3701359104.

The previous prime is 11109842971. The next prime is 11109842981. The reversal of 11109842976 is 67924890111.

It is an interprime number because it is at equal distance from previous prime (11109842971) and next prime (11109842981).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×111098429762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11109842971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162295 + ... + 220361.

It is an arithmetic number, because the mean of its divisors is an integer number (607884858).

Almost surely, 211109842976 is an apocalyptic number.

11109842976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11109842976 is an abundant number, since it is smaller than the sum of its proper divisors (18068630208).

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

11109842976 is a wasteful number, since it uses less digits than its factorization.

11109842976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60073 (or 60065 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 11109842976 in words is "eleven billion, one hundred nine million, eight hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1993 3986 5979 7972 11958 15944 23916 31888 47832 58067 63776 95664 116134 174201 191328 232268 348402 464536 696804 929072 1393608 1858144 2787216 5574432 115727531 231455062 347182593 462910124 694365186 925820248 1388730372 1851640496 2777460744 3703280992 5554921488 11109842976