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133055866944 = 2636721121337
BaseRepresentation
bin111101111101010111…
…1110110100001000000
3110201102220002101000000
41323322233312201000
54134444300220234
6141043001000000
712420151131300
oct1737257664100
9421386071000
10133055866944
1151479628200
1221954183000
13c716019a20
146623295600
1536db290899
hex1efabf6840

133055866944 has 1764 divisors, whose sum is σ = 559837533612. Its totient is φ = 31039303680.

The previous prime is 133055866913. The next prime is 133055866961. The reversal of 133055866944 is 449668550331.

133055866944 is a `hidden beast` number, since 13 + 3 + 0 + 5 + 586 + 6 + 9 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70815596544 + 62240270400 = 266112^2 + 249480^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 3596104494 + ... + 3596104530.

Almost surely, 2133055866944 is an apocalyptic number.

133055866944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133055866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279918766806).

133055866944 is an abundant number, since it is smaller than the sum of its proper divisors (426781666668).

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

133055866944 is a wasteful number, since it uses less digits than its factorization.

133055866944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

It can be divided in two parts, 133055 and 866944, that added together give a palindrome (999999).

The spelling of 133055866944 in words is "one hundred thirty-three billion, fifty-five million, eight hundred sixty-six thousand, nine hundred forty-four".