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90708718464 = 27327213711741
BaseRepresentation
bin101010001111010101…
…0010011001110000000
322200010122110100002100
41110132222103032000
52441232412442324
6105400534350400
76360563246100
oct1243652231600
9280118410070
1090708718464
1135518785831
12156b61bb400
1387278c4b10
1445670a5200
15255d6c24c9
hex151ea93380

90708718464 has 576 divisors, whose sum is σ = 331792886880. Its totient is φ = 23572684800.

The previous prime is 90708718417. The next prime is 90708718469. The reversal of 90708718464 is 46481780709.

It is a happy number.

90708718464 is a `hidden beast` number, since 90 + 7 + 0 + 87 + 18 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90708718464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90708718469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52100634 + ... + 52102374.

Almost surely, 290708718464 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 90708718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165896443440).

90708718464 is an abundant number, since it is smaller than the sum of its proper divisors (241084168416).

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

90708718464 is a wasteful number, since it uses less digits than its factorization.

90708718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 90708718464 in words is "ninety billion, seven hundred eight million, seven hundred eighteen thousand, four hundred sixty-four".