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52520953680 = 2432513192271301
BaseRepresentation
bin110000111010011111…
…100010011101010000
312000120021102212221200
4300322133202131100
51330030331004210
640043334151200
73536342511636
oct607237423520
9160507385850
1052520953680
1120301788948
12a2191b2500
134c501276b0
142783477356
151575d5e0c0
hexc3a7e2750

52520953680 has 480 divisors, whose sum is σ = 200983386240. Its totient is φ = 12184473600.

The previous prime is 52520953651. The next prime is 52520953691. The reversal of 52520953680 is 8635902525.

52520953680 is a `hidden beast` number, since 5 + 2 + 520 + 95 + 36 + 8 + 0 = 666.

52520953680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 40369030 + ... + 40370330.

It is an arithmetic number, because the mean of its divisors is an integer number (418715388).

Almost surely, 252520953680 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 52520953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100491693120).

52520953680 is an abundant number, since it is smaller than the sum of its proper divisors (148462432560).

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

52520953680 is a wasteful number, since it uses less digits than its factorization.

52520953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 52520953680 in words is "fifty-two billion, five hundred twenty million, nine hundred fifty-three thousand, six hundred eighty".