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98593403040 = 25335117926263
BaseRepresentation
bin101101111010010011…
…1111111000010100000
3100102111010212210222000
41123310213333002200
53103404402344130
6113143154444000
710060144045506
oct1336447770240
9312433783860
1098593403040
11388a4450a80
1217136893600
1393b3291352
144ab4312676
1528709e0260
hex16f49ff0a0

98593403040 has 384 divisors, whose sum is σ = 381227212800. Its totient is φ = 23597982720.

The previous prime is 98593403039. The next prime is 98593403059. The reversal of 98593403040 is 4030439589.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3740949 + ... + 3767211.

It is an arithmetic number, because the mean of its divisors is an integer number (992779200).

Almost surely, 298593403040 is an apocalyptic number.

98593403040 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 98593403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190613606400).

98593403040 is an abundant number, since it is smaller than the sum of its proper divisors (282633809760).

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

98593403040 is a wasteful number, since it uses less digits than its factorization.

98593403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26377 (or 26363 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 98593403040 in words is "ninety-eight billion, five hundred ninety-three million, four hundred three thousand, forty".