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65378371520 = 26572112172027
BaseRepresentation
bin111100111000110110…
…101100011111000000
320020202022221101110102
4330320312230133000
52032343330342040
650011233221532
74503064663100
oct747066543700
9206668841412
1065378371520
11257aa428200
12108071018a8
13621bac6947
143242cc9200
151a799e9515
hexf38dac7c0

65378371520 has 504 divisors, whose sum is σ = 210873459888. Its totient is φ = 19169525760.

The previous prime is 65378371483. The next prime is 65378371523. The reversal of 65378371520 is 2517387356.

It is a super-2 number, since 2×653783715202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65378371523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32252747 + ... + 32254773.

It is an arithmetic number, because the mean of its divisors is an integer number (418399722).

Almost surely, 265378371520 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 65378371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105436729944).

65378371520 is an abundant number, since it is smaller than the sum of its proper divisors (145495088368).

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

65378371520 is a wasteful number, since it uses less digits than its factorization.

65378371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 65378371520 in words is "sixty-five billion, three hundred seventy-eight million, three hundred seventy-one thousand, five hundred twenty".