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65716903440 = 24325436593221
BaseRepresentation
bin111101001101000010…
…000101111000010000
320021121220221120221200
4331031002011320100
52034042011402230
650105005151200
74514345314446
oct751502057020
9207556846850
1065716903440
112596352a251
12108a055b500
136273c95ca6
143275c4cb96
151a995ba160
hexf4d085e10

65716903440 has 240 divisors, whose sum is σ = 226244715840. Its totient is φ = 17085680640.

The previous prime is 65716903403. The next prime is 65716903453. The reversal of 65716903440 is 4430961756.

65716903440 is a `hidden beast` number, since 6 + 571 + 6 + 9 + 0 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×657169034402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 20401030 + ... + 20404250.

It is an arithmetic number, because the mean of its divisors is an integer number (942686316).

Almost surely, 265716903440 is an apocalyptic number.

65716903440 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 65716903440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113122357920).

65716903440 is an abundant number, since it is smaller than the sum of its proper divisors (160527812400).

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

65716903440 is a wasteful number, since it uses less digits than its factorization.

65716903440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 65716903440 in words is "sixty-five billion, seven hundred sixteen million, nine hundred three thousand, four hundred forty".