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363490068294 = 2331929231107127
BaseRepresentation
bin1010100101000011011…
…00100100011101000110
31021202020020200200011000
411102201230210131012
521423411424141134
6434552433354130
735155423413303
oct5224154443506
91252206620130
10363490068294
11130178738321
125a544108946
132837a658962
141384332a0aa
1596c650ae99
hex54a1b24746

363490068294 has 384 divisors, whose sum is σ = 924726067200. Its totient is φ = 105414099840.

The previous prime is 363490068289. The next prime is 363490068307. The reversal of 363490068294 is 492860094363.

363490068294 is a `hidden beast` number, since 3 + 6 + 3 + 490 + 0 + 68 + 2 + 94 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 363490068294.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2862126459 + ... + 2862126585.

It is an arithmetic number, because the mean of its divisors is an integer number (2408140800).

Almost surely, 2363490068294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363490068294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462363033600).

363490068294 is an abundant number, since it is smaller than the sum of its proper divisors (561235998906).

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

363490068294 is a wasteful number, since it uses less digits than its factorization.

363490068294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 363490068294 in words is "three hundred sixty-three billion, four hundred ninety million, sixty-eight thousand, two hundred ninety-four".