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52662001392 = 243371121311071
BaseRepresentation
bin110001000010111001…
…100101111011110000
312000221002211212001000
4301002321211323300
51330322433021032
640105333242000
73543004424520
oct610271457360
9160832755030
1052662001392
1120374366100
12a258493300
134c73410890
1427980b1680
151583420e7c
hexc42e65ef0

52662001392 has 480 divisors, whose sum is σ = 204511354880. Its totient is φ = 12625113600.

The previous prime is 52662001391. The next prime is 52662001411. The reversal of 52662001392 is 29310026625.

52662001392 is a `hidden beast` number, since 5 + 2 + 66 + 200 + 1 + 392 = 666.

52662001392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×526620013922 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52662001391) 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, 4751217 + ... + 4762287.

Almost surely, 252662001392 is an apocalyptic number.

52662001392 is a gapful number since it is divisible by the number (52) 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 52662001392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102255677440).

52662001392 is an abundant number, since it is smaller than the sum of its proper divisors (151849353488).

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

52662001392 is a wasteful number, since it uses less digits than its factorization.

52662001392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11130 (or 11107 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 52662001392 in words is "fifty-two billion, six hundred sixty-two million, one thousand, three hundred ninety-two".