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3300134492160 = 2113251131173607
BaseRepresentation
bin110000000001011111010…
…110000001100000000000
3102200111020001021012202100
4300001133112001200000
5413032133412222120
611004021051150400
7460266260230032
oct60013726014000
912614201235670
103300134492160
111062640982a20
12453708445400
131ac28048ab6c
14b5a27c47c52
155ac9db1c490
hex3005f581800

3300134492160 has 1152 divisors, whose sum is σ = 12975752724480. Its totient is φ = 768481689600.

The previous prime is 3300134492131. The next prime is 3300134492177. The reversal of 3300134492160 is 612944310033.

3300134492160 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 1 + 3 + 4 + 492 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×33001344921602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5436794577 + ... + 5436795183.

It is an arithmetic number, because the mean of its divisors is an integer number (11263674240).

Almost surely, 23300134492160 is an apocalyptic number.

3300134492160 is a gapful number since it is divisible by the number (30) 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 3300134492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487876362240).

3300134492160 is an abundant number, since it is smaller than the sum of its proper divisors (9675618232320).

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

3300134492160 is a wasteful number, since it uses less digits than its factorization.

3300134492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3300134492160 in words is "three trillion, three hundred billion, one hundred thirty-four million, four hundred ninety-two thousand, one hundred sixty".