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90347744088 = 2335728910657
BaseRepresentation
bin101010000100100100…
…1010010101101011000
322122012111012221100000
41110021021102231120
52440013010302323
6105301041413000
76345621103500
oct1241111225530
9278174187300
1090347744088
1135352a453a8
121561533a160
13869ab98704
14453117ca00
15253bb6be43
hex1509252b58

90347744088 has 288 divisors, whose sum is σ = 298528448400. Its totient is φ = 25521205248.

The previous prime is 90347744087. The next prime is 90347744107. The reversal of 90347744088 is 88044774309.

90347744088 is a `hidden beast` number, since 90 + 3 + 477 + 4 + 4 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90347744087) 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, 8472456 + ... + 8483112.

Almost surely, 290347744088 is an apocalyptic number.

90347744088 is a gapful number since it is divisible by the number (98) 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 90347744088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149264224200).

90347744088 is an abundant number, since it is smaller than the sum of its proper divisors (208180704312).

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

90347744088 is a wasteful number, since it uses less digits than its factorization.

90347744088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10781 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 90347744088 in words is "ninety billion, three hundred forty-seven million, seven hundred forty-four thousand, eighty-eight".