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1149498332640 = 25345742130097
BaseRepresentation
bin10000101110100011011…
…100001001010111100000
311001220001111220121010000
4100232203130021113200
5122313133033121030
62240023334340000
7146022432420150
oct20564334112740
94056044817100
101149498332640
11403554928a19
121669447ba600
138452192acb8
143d8c932a760
151ed7b29d860
hex10ba37095e0

1149498332640 has 480 divisors, whose sum is σ = 4647476965824. Its totient is φ = 262109675520.

The previous prime is 1149498332639. The next prime is 1149498332641. The reversal of 1149498332640 is 462338949411.

1149498332640 is a `hidden beast` number, since 1 + 1 + 494 + 9 + 83 + 32 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1149498332639) and next prime (1149498332641).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149498332641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38178072 + ... + 38208168.

Almost surely, 21149498332640 is an apocalyptic number.

1149498332640 is a gapful number since it is divisible by the number (10) 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 1149498332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323738482912).

1149498332640 is an abundant number, since it is smaller than the sum of its proper divisors (3497978633184).

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

1149498332640 is a wasteful number, since it uses less digits than its factorization.

1149498332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30552 (or 30535 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1149498332640 in words is "one trillion, one hundred forty-nine billion, four hundred ninety-eight million, three hundred thirty-two thousand, six hundred forty".