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5046399192576 = 293721719416183
BaseRepresentation
bin100100101101111010011…
…0101001100111000000000
3122212102122020101022212010
41021123310311030320000
51130140011143130301
614422141144132520
71030406322251100
oct111336465147000
918772566338763
105046399192576
11167619086a705
12696038a67140
132a7b47b304c1
14136365b97200
158b405de55d6
hex496f4d4ce00

5046399192576 has 1920 divisors, whose sum is σ = 18366789450240. Its totient is φ = 1218812313600.

The previous prime is 5046399192521. The next prime is 5046399192607. The reversal of 5046399192576 is 6752919936405.

It is a super-2 number, since 2×50463991925762 (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 60799990231 + ... + 60799990313.

It is an arithmetic number, because the mean of its divisors is an integer number (9566036172).

Almost surely, 25046399192576 is an apocalyptic number.

5046399192576 is a gapful number since it is divisible by the number (56) 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 5046399192576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183394725120).

5046399192576 is an abundant number, since it is smaller than the sum of its proper divisors (13320390257664).

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

5046399192576 is a wasteful number, since it uses less digits than its factorization.

5046399192576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 66.

The spelling of 5046399192576 in words is "five trillion, forty-six billion, three hundred ninety-nine million, one hundred ninety-two thousand, five hundred seventy-six".