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6073712944992 = 253472113193161
BaseRepresentation
bin101100001100010010110…
…0000001010011101100000
3210111122022111110010210000
41120120211200022131200
51244002431003214432
620530120351140000
71164545161131300
oct130304540123540
923448274403700
106073712944992
111a31935686000
12821162214600
13350996ab1204
1416dd7d995600
15a7ed051a57c
hex5862580a760

6073712944992 has 2880 divisors, whose sum is σ = 25241404446720. Its totient is φ = 1422634752000.

The previous prime is 6073712944967. The next prime is 6073712944993. The reversal of 6073712944992 is 2994492173706.

6073712944992 is a `hidden beast` number, since 6 + 0 + 73 + 71 + 2 + 9 + 4 + 499 + 2 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (6073712944993) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 99569064642 + ... + 99569064702.

It is an arithmetic number, because the mean of its divisors is an integer number (8764376544).

Almost surely, 26073712944992 is an apocalyptic number.

6073712944992 is a gapful number since it is divisible by the number (62) 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 6073712944992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620702223360).

6073712944992 is an abundant number, since it is smaller than the sum of its proper divisors (19167691501728).

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

6073712944992 is a wasteful number, since it uses less digits than its factorization.

6073712944992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 6073712944992 in words is "six trillion, seventy-three billion, seven hundred twelve million, nine hundred forty-four thousand, nine hundred ninety-two".