Search a number
-
+
53856014940 = 223357134126731
BaseRepresentation
bin110010001010000100…
…011001001001011100
312011000022121000201000
4302022010121021130
51340244114434230
640424025150300
73614413400550
oct621204311134
9164008530630
1053856014940
1120927353162
12a53032b390
1351038ba280
14286c8c3860
151603177b60
hexc8a11925c

53856014940 has 384 divisors, whose sum is σ = 211255511040. Its totient is φ = 11085465600.

The previous prime is 53856014939. The next prime is 53856014999. The reversal of 53856014940 is 4941065835.

53856014940 is a `hidden beast` number, since 5 + 3 + 8 + 560 + 1 + 49 + 40 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2001375 + ... + 2028105.

It is an arithmetic number, because the mean of its divisors is an integer number (550144560).

Almost surely, 253856014940 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 53856014940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105627755520).

53856014940 is an abundant number, since it is smaller than the sum of its proper divisors (157399496100).

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

53856014940 is a wasteful number, since it uses less digits than its factorization.

53856014940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26810 (or 26802 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 53856014940 in words is "fifty-three billion, eight hundred fifty-six million, fourteen thousand, nine hundred forty".