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5292248113152 = 213337112134153
BaseRepresentation
bin100110100000011001010…
…0100011010000000000000
3200201221012212111111112000
41031000302210122000000
51143202011004110102
615131120351504000
71054231561510350
oct115006244320000
920657185444460
105292248113152
111760480100500
1271580b228000
132c5097bb1680
14144209168b60
15929e459501c
hex4d03291a000

5292248113152 has 2688 divisors, whose sum is σ = 22139414760960. Its totient is φ = 1214565580800.

The previous prime is 5292248113133. The next prime is 5292248113189. The reversal of 5292248113152 is 2513118422925.

It is a happy number.

5292248113152 is a `hidden beast` number, since 5 + 2 + 9 + 2 + 2 + 481 + 13 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a junction number, because it is equal to n+sod(n) for n = 5292248113098 and 5292248113107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99853737958 + ... + 99853738010.

It is an arithmetic number, because the mean of its divisors is an integer number (8236389420).

Almost surely, 25292248113152 is an apocalyptic number.

5292248113152 is a gapful number since it is divisible by the number (52) 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 5292248113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069707380480).

5292248113152 is an abundant number, since it is smaller than the sum of its proper divisors (16847166647808).

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

5292248113152 is a wasteful number, since it uses less digits than its factorization.

5292248113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 5292248113152 in words is "five trillion, two hundred ninety-two billion, two hundred forty-eight million, one hundred thirteen thousand, one hundred fifty-two".