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5112645675120 = 24325191272942767
BaseRepresentation
bin100101001100110000101…
…1011011110100001110000
3200002202122001211022202200
41022121201123132201300
51132231144243100440
614512414512143200
71035243061126134
oct112314133364160
920082561738680
105112645675120
1116a1296219535
126a6a46837b00
132b1174736ab9
1413964c09b3c4
158ced1c1cc30
hex4a6616de870

5112645675120 has 240 divisors, whose sum is σ = 18215969341440. Its totient is φ = 1281445111296.

The previous prime is 5112645675113. The next prime is 5112645675127. The reversal of 5112645675120 is 215765462115.

5112645675120 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 6 + 456 + 75 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (5112645675113) and next prime (5112645675127).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51126456751202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5112645675127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265977 + ... + 3208743.

It is an arithmetic number, because the mean of its divisors is an integer number (75899872256).

Almost surely, 25112645675120 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 5112645675120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107984670720).

5112645675120 is an abundant number, since it is smaller than the sum of its proper divisors (13103323666320).

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

5112645675120 is a wasteful number, since it uses less digits than its factorization.

5112645675120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942932 (or 2942923 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 5112645675120 in words is "five trillion, one hundred twelve billion, six hundred forty-five million, six hundred seventy-five thousand, one hundred twenty".