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65799990144 = 2733719375373
BaseRepresentation
bin111101010001111111…
…000010101110000000
320021211201021211111000
4331101333002232000
52034224244141034
650121134052000
74516404454650
oct752177025600
9207751254430
1065799990144
11259a6419549
121090434a000
136288267315
143282cba360
151aa1a2d599
hexf51fc2b80

65799990144 has 1024 divisors, whose sum is σ = 247815936000. Its totient is φ = 16769286144.

The previous prime is 65799990119. The next prime is 65799990227. The reversal of 65799990144 is 44109999756.

65799990144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 901369692 + ... + 901369764.

It is an arithmetic number, because the mean of its divisors is an integer number (242007750).

Almost surely, 265799990144 is an apocalyptic number.

65799990144 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 65799990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123907968000).

65799990144 is an abundant number, since it is smaller than the sum of its proper divisors (182015945856).

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

65799990144 is a wasteful number, since it uses less digits than its factorization.

65799990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 65799990144 in words is "sixty-five billion, seven hundred ninety-nine million, nine hundred ninety thousand, one hundred forty-four".