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2315064780 = 223357329431
BaseRepresentation
bin1000100111111101…
…0001010111001100
312222100012110212000
42021333101113030
514220124033110
61021415512300
7111240504000
oct21177212714
95870173760
102315064780
11a88880486
12547388690
132ab81b122
1417d670700
15d839a1c0
hex89fd15cc

2315064780 has 384 divisors, whose sum is σ = 8709120000. Its totient is φ = 509725440.

The previous prime is 2315064769. The next prime is 2315064797. The reversal of 2315064780 is 874605132.

2315064780 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 0 + 647 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5371165 + ... + 5371595.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 22315064780 is an apocalyptic number.

2315064780 is a gapful number since it is divisible by the number (20) 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 2315064780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560000).

2315064780 is an abundant number, since it is smaller than the sum of its proper divisors (6394055220).

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

2315064780 is a wasteful number, since it uses less digits than its factorization.

2315064780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2315064780 is about 48115.1200767493. The cubic root of 2315064780 is about 1322.8818236594.

The spelling of 2315064780 in words is "two billion, three hundred fifteen million, sixty-four thousand, seven hundred eighty".