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1131808575072 = 25371684238951
BaseRepresentation
bin10000011110000101000…
…011000100111001100000
311000012101200111210200210
4100132011003010321200
5122020420443400242
62223540133414120
7144525162104010
oct20360503047140
94005350453623
101131808575072
113a6aa748626a
1216342849a340
1382962a73526
143cacbbbbc40
151e693278d9c
hex107850c4e60

1131808575072 has 48 divisors (see below), whose sum is σ = 3395425727232. Its totient is φ = 323373878400.

The previous prime is 1131808575019. The next prime is 1131808575097. The reversal of 1131808575072 is 2705758081311.

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

It is a super-2 number, since 2×11318085750722 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842118804 + ... + 842120147.

It is an arithmetic number, because the mean of its divisors is an integer number (70738035984).

Almost surely, 21131808575072 is an apocalyptic number.

1131808575072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131808575072 is an abundant number, since it is smaller than the sum of its proper divisors (2263617152160).

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

1131808575072 is a wasteful number, since it uses less digits than its factorization.

1131808575072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684238971 (or 1684238963 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 1131808575072 in words is "one trillion, one hundred thirty-one billion, eight hundred eight million, five hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1684238951 3368477902 5052716853 6736955804 10105433706 11789672657 13473911608 20210867412 23579345314 26947823216 35369017971 40421734824 47158690628 53895646432 70738035942 80843469648 94317381256 141476071884 161686939296 188634762512 282952143768 377269525024 565904287536 1131808575072