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5765278680 = 2334571719787
BaseRepresentation
bin1010101111010001…
…10010101111011000
3112212210101111120000
411113220302233120
543301402404210
62352025533000
7262604026440
oct52750625730
915783344500
105765278680
112499393227
12114a944160
1370b575805
143c998d120
1523b220ac0
hex157a32bd8

5765278680 has 640 divisors, whose sum is σ = 24714201600. Its totient is φ = 1173491712.

The previous prime is 5765278657. The next prime is 5765278681. The reversal of 5765278680 is 868725675.

5765278680 is a `hidden beast` number, since 57 + 6 + 527 + 8 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5765278681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7325247 + ... + 7326033.

It is an arithmetic number, because the mean of its divisors is an integer number (38615940).

Almost surely, 25765278680 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 5765278680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357100800).

5765278680 is an abundant number, since it is smaller than the sum of its proper divisors (18948922920).

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

5765278680 is a wasteful number, since it uses less digits than its factorization.

5765278680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 5765278680 is about 75929.4322380986. The cubic root of 5765278680 is about 1793.1093217455.

The spelling of 5765278680 in words is "five billion, seven hundred sixty-five million, two hundred seventy-eight thousand, six hundred eighty".