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52435543104 = 263571729977
BaseRepresentation
bin110000110101011001…
…101110010001000000
312000100022201120200000
4300311121232101000
51324341444334404
640031043400000
73534254522340
oct606531562100
9160308646600
1052435543104
112026855169a
12a1b4683000
134c385216a9
142775da2d20
15156d5dc339
hexc3566e440

52435543104 has 672 divisors, whose sum is σ = 195311450880. Its totient is φ = 13600161792.

The previous prime is 52435543099. The next prime is 52435543109. The reversal of 52435543104 is 40134553425.

52435543104 is a `hidden beast` number, since 5 + 2 + 4 + 3 + 5 + 543 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (52435543099) and next prime (52435543109).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×524355431042 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (52435543109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53669464 + ... + 53670440.

It is an arithmetic number, because the mean of its divisors is an integer number (290642040).

Almost surely, 252435543104 is an apocalyptic number.

52435543104 is a gapful number since it is divisible by the number (54) 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 52435543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97655725440).

52435543104 is an abundant number, since it is smaller than the sum of its proper divisors (142875907776).

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

52435543104 is a wasteful number, since it uses less digits than its factorization.

52435543104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 52435543104 in words is "fifty-two billion, four hundred thirty-five million, five hundred forty-three thousand, one hundred four".