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65755376640 = 2103351313631
BaseRepresentation
bin111101001111010100…
…110110110000000000
320021201121100020021000
4331033110312300000
52034131334023030
650112501532000
74515323323302
oct751724666000
9207647306230
1065755376640
1125983217788
12108b1414000
13627bc468b5
14327adc5972
151a9cb69860
hexf4f536c00

65755376640 has 352 divisors, whose sum is σ = 235531422720. Its totient is φ = 17396121600.

The previous prime is 65755376597. The next prime is 65755376641. The reversal of 65755376640 is 4667355756.

65755376640 is a `hidden beast` number, since 6 + 5 + 7 + 5 + 537 + 66 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (65755376641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18107625 + ... + 18111255.

It is an arithmetic number, because the mean of its divisors is an integer number (669123360).

Almost surely, 265755376640 is an apocalyptic number.

65755376640 is a gapful number since it is divisible by the number (60) 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 65755376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117765711360).

65755376640 is an abundant number, since it is smaller than the sum of its proper divisors (169776046080).

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

65755376640 is a wasteful number, since it uses less digits than its factorization.

65755376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 65755376640 in words is "sixty-five billion, seven hundred fifty-five million, three hundred seventy-six thousand, six hundred forty".