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63040591872 = 211351959113
BaseRepresentation
bin111010101101100000…
…110001100000000000
320000201101222212200000
4322231200301200000
52013101342414442
644543242400000
74361130122016
oct725540614000
9200641885600
1063040591872
112480a852805
1210274200000
135c3868478b
1430a06248b6
15198e663d4c
hexead831800

63040591872 has 576 divisors, whose sum is σ = 203911344000. Its totient is φ = 19396952064.

The previous prime is 63040591871. The next prime is 63040591879. The reversal of 63040591872 is 27819504036.

63040591872 is a `hidden beast` number, since 63 + 0 + 405 + 9 + 187 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63040591871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557881288 + ... + 557881400.

It is an arithmetic number, because the mean of its divisors is an integer number (354012750).

It is a 1-persistent number, because it is pandigital, but 2⋅63040591872 = 126081183744 is not.

Almost surely, 263040591872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63040591872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101955672000).

63040591872 is an abundant number, since it is smaller than the sum of its proper divisors (140870752128).

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

63040591872 is a wasteful number, since it uses less digits than its factorization.

63040591872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 63040591872 in words is "sixty-three billion, forty million, five hundred ninety-one thousand, eight hundred seventy-two".