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90998086608 = 243411131721699
BaseRepresentation
bin101010010111111101…
…0001001101111010000
322200212210221202120000
41110233322021233100
52442331002232413
6105445352450000
76401005655022
oct1245772115720
9280783852500
1090998086608
1135657058360
12157770a9900
13877283c580
1445936ac012
152578cd1073
hex152fe89bd0

90998086608 has 600 divisors, whose sum is σ = 328884679200. Its totient is φ = 23942615040.

The previous prime is 90998086603. The next prime is 90998086637. The reversal of 90998086608 is 80668089909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90998086603) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53558943 + ... + 53560641.

It is an arithmetic number, because the mean of its divisors is an integer number (548141132).

Almost surely, 290998086608 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 90998086608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164442339600).

90998086608 is an abundant number, since it is smaller than the sum of its proper divisors (237886592592).

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

90998086608 is a wasteful number, since it uses less digits than its factorization.

90998086608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 90998086608 in words is "ninety billion, nine hundred ninety-eight million, eighty-six thousand, six hundred eight".