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5141565072 = 243571961163
BaseRepresentation
bin1001100100111011…
…00000111010010000
3111021022202120100000
410302131200322100
541012220040242
62210105330000
7241261403430
oct46235407220
914238676300
105141565072
1121a9308a36
12bb5a96900
1363c2963c7
1436abd22c0
152015bba4c
hex132760e90

5141565072 has 480 divisors, whose sum is σ = 18357713920. Its totient is φ = 1360488960.

The previous prime is 5141565043. The next prime is 5141565113. The reversal of 5141565072 is 2705651415.

5141565072 is a `hidden beast` number, since 5 + 141 + 5 + 6 + 507 + 2 = 666.

It is a super-2 number, since 2×51415650722 = 52871382779220730368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 31543263 + ... + 31543425.

Almost surely, 25141565072 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 5141565072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9178856960).

5141565072 is an abundant number, since it is smaller than the sum of its proper divisors (13216148848).

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

5141565072 is a wasteful number, since it uses less digits than its factorization.

5141565072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5141565072 is about 71704.7074605287. The cubic root of 5141565072 is about 1725.9641823345.

The spelling of 5141565072 in words is "five billion, one hundred forty-one million, five hundred sixty-five thousand, seventy-two".