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3379858562304 = 28337297930491
BaseRepresentation
bin110001001011101111010…
…001001101110100000000
3102222010000011011121011000
4301023233101031310000
5420333422242443204
611104404030452000
7466121021522310
oct61135721156400
912863004147130
103379858562304
1110934320558a4
12467057964000
131b69473a1a73
14b982c0b7440
155cdb7c84039
hex312ef44dd00

3379858562304 has 576 divisors, whose sum is σ = 11966524416000. Its totient is φ = 920542371840.

The previous prime is 3379858562303. The next prime is 3379858562317. The reversal of 3379858562304 is 4032658589733.

It is a happy number.

3379858562304 is a `hidden beast` number, since 3 + 37 + 9 + 8 + 5 + 8 + 562 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×33798585623042 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379858562303) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 110832499 + ... + 110862989.

It is an arithmetic number, because the mean of its divisors is an integer number (20775216000).

Almost surely, 23379858562304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379858562304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983262208000).

3379858562304 is an abundant number, since it is smaller than the sum of its proper divisors (8586665853696).

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

3379858562304 is a wasteful number, since it uses less digits than its factorization.

3379858562304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30631 (or 30611 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 3379858562304 in words is "three trillion, three hundred seventy-nine billion, eight hundred fifty-eight million, five hundred sixty-two thousand, three hundred four".