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98740961280 = 2153351317101
BaseRepresentation
bin101101111110101101…
…0111000000000000000
3100102212102112112211000
41123331122320000000
53104210141230110
6113205545252000
710063615215453
oct1337532700000
9312772475730
1098740961280
113896a775735
1217178194000
139407a16a10
144ac9b6349a
15287d93b1c0
hex16fd6b8000

98740961280 has 1024 divisors, whose sum is σ = 404282793600. Its totient is φ = 22649241600.

The previous prime is 98740961213. The next prime is 98740961303. The reversal of 98740961280 is 8216904789.

It is a tau number, because it is divible by the number of its divisors (1024).

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, 977633230 + ... + 977633330.

Almost surely, 298740961280 is an apocalyptic number.

98740961280 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 98740961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202141396800).

98740961280 is an abundant number, since it is smaller than the sum of its proper divisors (305541832320).

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

98740961280 is a wasteful number, since it uses less digits than its factorization.

98740961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 98740961280 in words is "ninety-eight billion, seven hundred forty million, nine hundred sixty-one thousand, two hundred eighty".