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5152315392000 = 214365371729
BaseRepresentation
bin100101011111001110111…
…1011011100000000000000
3200020120000201101202000000
41022332131323130000000
51133403420220021000
614542535132000000
71041146115142320
oct112763573340000
920216021352000
105152315392000
1117070a2799a17
126b2678000000
132b4b2724775a
1413b532851280
158e054713000
hex4af9dedc000

5152315392000 has 3360 divisors, whose sum is σ = 24135993947520. Its totient is φ = 1070176665600.

The previous prime is 5152315391963. The next prime is 5152315392043. The reversal of 5152315392000 is 2935132515.

5152315392000 is a `hidden beast` number, since 51 + 52 + 3 + 1 + 539 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×51523153920002 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 177666047986 + ... + 177666048014.

It is an arithmetic number, because the mean of its divisors is an integer number (7183331532).

Almost surely, 25152315392000 is an apocalyptic number.

5152315392000 is a gapful number since it is divisible by the number (50) 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 5152315392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067996973760).

5152315392000 is an abundant number, since it is smaller than the sum of its proper divisors (18983678555520).

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

5152315392000 is an frugal number, since it uses more digits than its factorization.

5152315392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 5152315392000 in words is "five trillion, one hundred fifty-two billion, three hundred fifteen million, three hundred ninety-two thousand".