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607630342464 = 26321117944417
BaseRepresentation
bin10001101011110011001…
…01110011100101000000
32011002101210200121120200
420311321211303211000
534423411331424324
61143050323005200
761620434456265
oct10657145634500
92132353617520
10607630342464
1121477053a852
129991a209800
13453b7723b52
14215a380526c
1510c14b99ec9
hex8d79973940

607630342464 has 84 divisors (see below), whose sum is σ = 1743223743924. Its totient is φ = 202361905152.

The previous prime is 607630342447. The next prime is 607630342477. The reversal of 607630342464 is 464243036706.

607630342464 is a `hidden beast` number, since 6 + 0 + 7 + 630 + 3 + 4 + 2 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171555012864 + 436075329600 = 414192^2 + 660360^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 171184 + ... + 1115600.

Almost surely, 2607630342464 is an apocalyptic number.

607630342464 is a gapful number since it is divisible by the number (64) 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 607630342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871611871962).

607630342464 is an abundant number, since it is smaller than the sum of its proper divisors (1135593401460).

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

607630342464 is a wasteful number, since it uses less digits than its factorization.

607630342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945552 (or 945539 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 607630342464 in words is "six hundred seven billion, six hundred thirty million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1117 2234 3351 4468 6702 8936 10053 13404 17872 20106 26808 35744 40212 53616 71488 80424 107232 160848 214464 321696 643392 944417 1888834 2833251 3777668 5666502 7555336 8499753 11333004 15110672 16999506 22666008 30221344 33999012 45332016 60442688 67998024 90664032 135996048 181328064 271992096 543984192 1054913789 2109827578 3164741367 4219655156 6329482734 8439310312 9494224101 12658965468 16878620624 18988448202 25317930936 33757241248 37976896404 50635861872 67514482496 75953792808 101271723744 151907585616 202543447488 303815171232 607630342464