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5953921543680 = 2935111731133733
BaseRepresentation
bin101011010100100000101…
…1000001110111000000000
3210002012010000210102212220
41112221001120032320000
51240022112403344210
620355105505451040
71153104504045315
oct126510130167000
923065100712786
105953921543680
1119960535471a0
12801ab0340a80
133425b5ba1c26
1416825822cd0c
15a4d1da1bc70
hex56a4160ee00

5953921543680 has 640 divisors, whose sum is σ = 22695117705216. Its totient is φ = 1314639052800.

The previous prime is 5953921543657. The next prime is 5953921543709. The reversal of 5953921543680 is 863451293595.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44454094 + ... + 44587826.

Almost surely, 25953921543680 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 5953921543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347558852608).

5953921543680 is an abundant number, since it is smaller than the sum of its proper divisors (16741196161536).

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

5953921543680 is a wasteful number, since it uses less digits than its factorization.

5953921543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133818 (or 133802 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 5953921543680 in words is "five trillion, nine hundred fifty-three billion, nine hundred twenty-one million, five hundred forty-three thousand, six hundred eighty".