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48834806372352 = 21132711133185381
BaseRepresentation
bin10110001101010001111010…
…10010010101100000000000
320101220120011121210001220100
423012220331102111200000
522400102140412403402
6251510222250042400
713200125012124240
oct1306507522254000
9211816147701810
1048834806372352
11146187a8092790
125588619a19400
1321331441c6290
14c0b88d9c5b20
1559a48aa0871c
hex2c6a3d495800

48834806372352 has 1152 divisors, whose sum is σ = 195484725596160. Its totient is φ = 11330813952000.

The previous prime is 48834806372347. The next prime is 48834806372399. The reversal of 48834806372352 is 25327360843884.

48834806372352 is a `hidden beast` number, since 4 + 8 + 83 + 4 + 80 + 63 + 72 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×488348063723522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 48834806372352.

It is a congruent number.

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, 571920702 + ... + 572006082.

It is an arithmetic number, because the mean of its divisors is an integer number (169691602080).

Almost surely, 248834806372352 is an apocalyptic number.

48834806372352 is a gapful number since it is divisible by the number (42) 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 48834806372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97742362798080).

48834806372352 is an abundant number, since it is smaller than the sum of its proper divisors (146649919223808).

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

48834806372352 is a wasteful number, since it uses less digits than its factorization.

48834806372352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85471 (or 85448 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 48834806372352 in words is "forty-eight trillion, eight hundred thirty-four billion, eight hundred six million, three hundred seventy-two thousand, three hundred fifty-two".