Search a number
-
+
98556272640 = 213335729439
BaseRepresentation
bin101101111001001101…
…0010110000000000000
3100102101120000101122000
41123302122112000000
53103320401211030
6113135350544000
710056213331560
oct1336232260000
9312346011560
1098556272640
11388854a03a1
1217126368000
1393a86909b7
144aad408da0
15286c608860
hex16f2696000

98556272640 has 896 divisors, whose sum is σ = 415210752000. Its totient is φ = 21700804608.

The previous prime is 98556272621. The next prime is 98556272677. The reversal of 98556272640 is 4627265589.

98556272640 is a `hidden beast` number, since 9 + 8 + 5 + 5 + 627 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

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, 224501541 + ... + 224501979.

Almost surely, 298556272640 is an apocalyptic number.

98556272640 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 98556272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207605376000).

98556272640 is an abundant number, since it is smaller than the sum of its proper divisors (316654479360).

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

98556272640 is a wasteful number, since it uses less digits than its factorization.

98556272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 98556272640 in words is "ninety-eight billion, five hundred fifty-six million, two hundred seventy-two thousand, six hundred forty".