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3689725392864 = 25347239791151
BaseRepresentation
bin110101101100010100110…
…001010111011111100000
3111001201211022021112220000
4311230110301113133200
5440423024200032424
611503011512220000
7530400556235550
oct65542461273740
914051738245800
103689725392864
1111a289287aa15
124b711569a600
13209c2a432844
14ca8257d5160
1565ea17983c9
hex35b14c577e0

3689725392864 has 480 divisors, whose sum is σ = 13074329511936. Its totient is φ = 997965619200.

The previous prime is 3689725392827. The next prime is 3689725392877. The reversal of 3689725392864 is 4682935279863.

It is a happy number.

3689725392864 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 7 + 2 + 539 + 2 + 86 + 4 = 666.

It is a super-2 number, since 2×36897253928642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3689725392792 and 3689725392801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40433689 + ... + 40524839.

Almost surely, 23689725392864 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 3689725392864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537164755968).

3689725392864 is an abundant number, since it is smaller than the sum of its proper divisors (9384604119072).

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

3689725392864 is a wasteful number, since it uses less digits than its factorization.

3689725392864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91300 (or 91283 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 3689725392864 in words is "three trillion, six hundred eighty-nine billion, seven hundred twenty-five million, three hundred ninety-two thousand, eight hundred sixty-four".