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133800860944 = 2419248132
BaseRepresentation
bin111110010011100100…
…1110001110100010000
3110210100210220222122101
41330213021301310100
54143011010022234
6141244532450144
712444465360412
oct1744711616420
9423323828571
10133800860944
1151821109223
1221b21779954
13c804480a8a
1466941c29b2
15373189e814
hex1f27271d10

133800860944 has 45 divisors (see below), whose sum is σ = 273658307013. Its totient is φ = 63366186816.

The previous prime is 133800860927. The next prime is 133800860983. The reversal of 133800860944 is 449068008331.

The square root of 133800860944 is 365788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100197571600 + 33603289344 = 316540^2 + 183312^2 .

It is a super-2 number, since 2×1338008609442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133800860894 and 133800860903.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27797482 + ... + 27802294.

Almost surely, 2133800860944 is an apocalyptic number.

133800860944 is the 365788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133800860944

133800860944 is an abundant number, since it is smaller than the sum of its proper divisors (139857446069).

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

133800860944 is an frugal number, since it uses more digits than its factorization.

133800860944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 133800860944 in words is "one hundred thirty-three billion, eight hundred million, eight hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 4813 5776 9626 19252 38504 77008 91447 182894 365788 731576 1463152 1737493 3474986 6949972 13899944 23164969 27799888 46329938 92659876 185319752 370639504 440134411 880268822 1760537644 3521075288 7042150576 8362553809 16725107618 33450215236 66900430472 133800860944