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52858437120 = 2932583131211
BaseRepresentation
bin110001001110100110…
…111011111000000000
312001102210110211012100
4301032212323320000
51331223224441440
640141031430400
73550611205446
oct611646737000
9161383424170
1052858437120
1120465234185
12a2b2225400
134ca501a738
1427b6206b96
1515957c4230
hexc4e9bbe00

52858437120 has 480 divisors, whose sum is σ = 187568244864. Its totient is φ = 13753958400.

The previous prime is 52858437109. The next prime is 52858437143. The reversal of 52858437120 is 2173485825.

52858437120 is a `hidden beast` number, since 5 + 28 + 584 + 37 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250513815 + ... + 250514025.

Almost surely, 252858437120 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 52858437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93784122432).

52858437120 is an abundant number, since it is smaller than the sum of its proper divisors (134709807744).

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

52858437120 is a wasteful number, since it uses less digits than its factorization.

52858437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 52858437120 in words is "fifty-two billion, eight hundred fifty-eight million, four hundred thirty-seven thousand, one hundred twenty".