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136840898880 = 2633571727829
BaseRepresentation
bin111111101110001011…
…0100110100101000000
3111002012200021220201000
41333130112212211000
54220222232231010
6142510331212000
712613021306650
oct1773426464500
9432180256630
10136840898880
1153041135774
122262b8a7000
13cb9a2431aa
1468a1c4c360
15385d7017c0
hex1fdc5a6940

136840898880 has 672 divisors, whose sum is σ = 586145030400. Its totient is φ = 29434281984.

The previous prime is 136840898869. The next prime is 136840898921. The reversal of 136840898880 is 88898048631.

136840898880 is a `hidden beast` number, since 1 + 3 + 68 + 408 + 98 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17474806 + ... + 17482634.

Almost surely, 2136840898880 is an apocalyptic number.

136840898880 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 136840898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293072515200).

136840898880 is an abundant number, since it is smaller than the sum of its proper divisors (449304131520).

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

136840898880 is a wasteful number, since it uses less digits than its factorization.

136840898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 136840898880 in words is "one hundred thirty-six billion, eight hundred forty million, eight hundred ninety-eight thousand, eight hundred eighty".