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95681304000 = 2633531771367
BaseRepresentation
bin101100100011100001…
…1001101010111000000
3100010222012020212002000
41121013003031113000
53031423403212000
6111542210224000
76625033444032
oct1310703152700
9303865225060
1095681304000
113763a668957
1216663585000
13903ab75519
1448b966bc52
152750011000
hex16470cd5c0

95681304000 has 896 divisors, whose sum is σ = 377955901440. Its totient is φ = 23611392000.

The previous prime is 95681303989. The next prime is 95681304001. The reversal of 95681304000 is 40318659.

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 (95681304001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260711817 + ... + 260712183.

Almost surely, 295681304000 is an apocalyptic number.

95681304000 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 95681304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188977950720).

95681304000 is an abundant number, since it is smaller than the sum of its proper divisors (282274597440).

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

95681304000 is a wasteful number, since it uses less digits than its factorization.

95681304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 95681304000 in words is "ninety-five billion, six hundred eighty-one million, three hundred four thousand".