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6112393297920 = 219335713273
BaseRepresentation
bin101100011110010011100…
…0010000000000000000000
3210122100011012100122211000
41120330213002000000000
51300121140141013140
620555554505252000
71200414542532450
oct130744702000000
923570135318730
106112393297920
111a47284737728
12828758194000
1335451c639c00
14171bacba9d60
15a8ee6230a30
hex58f27080000

6112393297920 has 1920 divisors, whose sum is σ = 27263621088000. Its totient is φ = 1271981408256.

The previous prime is 6112393297903. The next prime is 6112393297937. The reversal of 6112393297920 is 297923932116.

6112393297920 is a `hidden beast` number, since 6 + 11 + 239 + 329 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6112393297903) and next prime (6112393297937).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×61123932979202 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83731415004 + ... + 83731415076.

It is an arithmetic number, because the mean of its divisors is an integer number (14199802650).

Almost surely, 26112393297920 is an apocalyptic number.

6112393297920 is a gapful number since it is divisible by the number (60) 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 6112393297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631810544000).

6112393297920 is an abundant number, since it is smaller than the sum of its proper divisors (21151227790080).

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

6112393297920 is an frugal number, since it uses more digits than its factorization.

6112393297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 6112393297920 in words is "six trillion, one hundred twelve billion, three hundred ninety-three million, two hundred ninety-seven thousand, nine hundred twenty".