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90236427840 = 26335132292131
BaseRepresentation
bin101010000001010000…
…0101001111001000000
322121220201202111011000
41110002200221321000
52434301011142330
6105242023452000
76343066660356
oct1240240517100
9277821674130
1090236427840
11352a61248a9
12155a3bb7000
138680ac2200
1445204837d6
152531ece560
hex1502829e40

90236427840 has 672 divisors, whose sum is σ = 356758646400. Its totient is φ = 21436047360.

The previous prime is 90236427829. The next prime is 90236427847. The reversal of 90236427840 is 4872463209.

It is a super-2 number, since 2×902364278402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90236427847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42343575 + ... + 42345705.

Almost surely, 290236427840 is an apocalyptic number.

90236427840 is a gapful number since it is divisible by the number (90) 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 90236427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178379323200).

90236427840 is an abundant number, since it is smaller than the sum of its proper divisors (266522218560).

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

90236427840 is a wasteful number, since it uses less digits than its factorization.

90236427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 90236427840 in words is "ninety billion, two hundred thirty-six million, four hundred twenty-seven thousand, eight hundred forty".