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89020130760 = 233451121719237
BaseRepresentation
bin101001011101000000…
…0110110010111001000
322111202222002012020000
41102322000312113020
52424303123141020
6104521214203000
76301000424631
oct1227200662710
9274688065200
1089020130760
11348315a7900
12153047b3460
138518b12bb2
144446b10888
1524b0325090
hex14ba0365c8

89020130760 has 1440 divisors, whose sum is σ = 377451015480. Its totient is φ = 18722119680.

The previous prime is 89020130747. The next prime is 89020130767. The reversal of 89020130760 is 6703102098.

89020130760 is a `hidden beast` number, since 8 + 90 + 201 + 307 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88326651204 + 693479556 = 297198^2 + 26334^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89020130767) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2405949462 + ... + 2405949498.

Almost surely, 289020130760 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 89020130760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188725507740).

89020130760 is an abundant number, since it is smaller than the sum of its proper divisors (288430884720).

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

89020130760 is a wasteful number, since it uses less digits than its factorization.

89020130760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 89020130760 in words is "eighty-nine billion, twenty million, one hundred thirty thousand, seven hundred sixty".