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1137806956 = 22111313271499
BaseRepresentation
bin100001111010001…
…1000111001101100
32221021222120201101
41003310120321230
54312234310311
6304523052444
740124125306
oct10364307154
92837876641
101137806956
11534298230
12279071124
1315195a270
14ab180976
1569d52ec1
hex43d18e6c

1137806956 has 48 divisors (see below), whose sum is σ = 2342592000. Its totient is φ = 476723520.

The previous prime is 1137806951. The next prime is 1137807007. The reversal of 1137806956 is 6596087311.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1137806951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758295 + ... + 759793.

It is an arithmetic number, because the mean of its divisors is an integer number (48804000).

Almost surely, 21137806956 is an apocalyptic number.

It is an amenable number.

1137806956 is an abundant number, since it is smaller than the sum of its proper divisors (1204785044).

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

1137806956 is a wasteful number, since it uses less digits than its factorization.

1137806956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 1137806956 is about 33731.3942196287. The cubic root of 1137806956 is about 1043.9736283665.

The spelling of 1137806956 in words is "one billion, one hundred thirty-seven million, eight hundred six thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 1327 1499 2654 2998 5308 5996 14597 16489 17251 19487 29194 32978 34502 38974 58388 65956 69004 77948 189761 214357 379522 428714 759044 857428 1989173 3978346 7956692 21880903 25859249 43761806 51718498 87523612 103436996 284451739 568903478 1137806956