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57340369044 = 22337314752057
BaseRepresentation
bin110101011001110000…
…001001100010010100
312111000011000112222000
4311121300021202110
51414413113302134
642201455035300
74066643044410
oct653160114224
9174004015860
1057340369044
1122355163a52
12b14320bb30
13553a73926a
142abd56bd40
151758ee3e99
hexd59c09894

57340369044 has 192 divisors, whose sum is σ = 179112837120. Its totient is φ = 15516852480.

The previous prime is 57340369043. The next prime is 57340369061. The reversal of 57340369044 is 44096304375.

57340369044 is a `hidden beast` number, since 573 + 4 + 0 + 36 + 9 + 0 + 44 = 666.

It is a super-2 number, since 2×573403690442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57340369043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1075464 + ... + 1127520.

It is an arithmetic number, because the mean of its divisors is an integer number (932879360).

Almost surely, 257340369044 is an apocalyptic number.

57340369044 is a gapful number since it is divisible by the number (54) 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 57340369044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89556418560).

57340369044 is an abundant number, since it is smaller than the sum of its proper divisors (121772468076).

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

57340369044 is a wasteful number, since it uses less digits than its factorization.

57340369044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52155 (or 52147 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 57340369044 in words is "fifty-seven billion, three hundred forty million, three hundred sixty-nine thousand, forty-four".