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65130379776 = 293372118741
BaseRepresentation
bin111100101010000100…
…101011101000000000
320020010001022002202000
4330222010223220000
52031341334123101
645530454024000
74463664044100
oct745204535000
9206101262660
1065130379776
1125692446350
1210758048000
1361ac608377
14321bdb3200
151a62d60486
hexf2a12ba00

65130379776 has 480 divisors, whose sum is σ = 244682285760. Its totient is φ = 16915046400.

The previous prime is 65130379757. The next prime is 65130379781. The reversal of 65130379776 is 67797303156.

65130379776 is a `hidden beast` number, since 6 + 513 + 0 + 37 + 97 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7446766 + ... + 7455506.

It is an arithmetic number, because the mean of its divisors is an integer number (509754762).

Almost surely, 265130379776 is an apocalyptic number.

65130379776 is a gapful number since it is divisible by the number (66) 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 65130379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122341142880).

65130379776 is an abundant number, since it is smaller than the sum of its proper divisors (179551905984).

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

65130379776 is a wasteful number, since it uses less digits than its factorization.

65130379776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 65130379776 in words is "sixty-five billion, one hundred thirty million, three hundred seventy-nine thousand, seven hundred seventy-six".