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2730926689920 = 2735511131923281
BaseRepresentation
bin100111101111010111111…
…010100100111010000000
3100200001222222100212200000
4213233113322210322000
5324220414213034140
65450323112400000
7401205623600232
oct47572772447200
910601888325600
102730926689920
119631a7a15350
123813319a6000
1316a6aa076220
149626b306252
154b08720da30
hex27bd7ea4e80

2730926689920 has 3072 divisors, whose sum is σ = 12664628121600. Its totient is φ = 551809843200.

The previous prime is 2730926689913. The next prime is 2730926689957. The reversal of 2730926689920 is 299866290372.

2730926689920 is a `hidden beast` number, since 273 + 0 + 9 + 266 + 89 + 9 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9718600180 + ... + 9718600460.

It is an arithmetic number, because the mean of its divisors is an integer number (4122600300).

Almost surely, 22730926689920 is an apocalyptic number.

2730926689920 is a gapful number since it is divisible by the number (20) 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 2730926689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332314060800).

2730926689920 is an abundant number, since it is smaller than the sum of its proper divisors (9933701431680).

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

2730926689920 is a wasteful number, since it uses less digits than its factorization.

2730926689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 2730926689920 in words is "two trillion, seven hundred thirty billion, nine hundred twenty-six million, six hundred eighty-nine thousand, nine hundred twenty".