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71911274112 = 273262422981
BaseRepresentation
bin100001011111000111…
…1101111011010000000
320212121121202020001200
41002332033233122000
52134233241232422
653011404101200
75124012513246
oct1027617573200
9225547666050
1071911274112
1128552048657
1211b2ab34800
136a203c7992
1436a27b6796
151d0d2e92ac
hex10be3ef680

71911274112 has 48 divisors (see below), whose sum is σ = 206932185330. Its totient is φ = 23970424320.

The previous prime is 71911274111. The next prime is 71911274173. The reversal of 71911274112 is 21147211917.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50344589376 + 21566684736 = 224376^2 + 146856^2 .

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

It is a super-2 number, since 2×719112741122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71911274111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31210339 + ... + 31212642.

Almost surely, 271911274112 is an apocalyptic number.

71911274112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71911274112 is an abundant number, since it is smaller than the sum of its proper divisors (135020911218).

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

71911274112 is a wasteful number, since it uses less digits than its factorization.

71911274112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62423001 (or 62422986 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The spelling of 71911274112 in words is "seventy-one billion, nine hundred eleven million, two hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 62422981 124845962 187268943 249691924 374537886 499383848 561806829 749075772 998767696 1123613658 1498151544 1997535392 2247227316 2996303088 3995070784 4494454632 5992606176 7990141568 8988909264 11985212352 17977818528 23970424704 35955637056 71911274112