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53977259520 = 2937531311
BaseRepresentation
bin110010010001010010…
…111001111000000000
312011022202201220000000
4302101102321320000
51341021134301040
640444040000000
73620415064362
oct622122717000
9164282656000
1053977259520
1120989834a98
12a564a60000
135122a5b822
142880a44d32
15160db27130
hexc914b9e00

53977259520 has 640 divisors, whose sum is σ = 201004277760. Its totient is φ = 13884825600.

The previous prime is 53977259447. The next prime is 53977259537. The reversal of 53977259520 is 2595277935.

53977259520 is a `hidden beast` number, since 5 + 3 + 97 + 7 + 25 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173560165 + ... + 173560475.

It is an arithmetic number, because the mean of its divisors is an integer number (314069184).

Almost surely, 253977259520 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 53977259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100502138880).

53977259520 is an abundant number, since it is smaller than the sum of its proper divisors (147027018240).

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

53977259520 is an frugal number, since it uses more digits than its factorization.

53977259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 53977259520 in words is "fifty-three billion, nine hundred seventy-seven million, two hundred fifty-nine thousand, five hundred twenty".