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5353952555520 = 293254710974507
BaseRepresentation
bin100110111101001000001…
…1100001011001000000000
3200221211111011021221122100
41031322100130023020000
51200204343323234040
615215323304110400
71061544635561652
oct115722034131000
920854434257570
105353952555520
111784664705318
1272576ba65400
132cab4c7b212a
141471c013c6d2
1594406777b30
hex4de9070b200

5353952555520 has 480 divisors, whose sum is σ = 18958227095808. Its totient is φ = 1395760103424.

The previous prime is 5353952555459. The next prime is 5353952555551. The reversal of 5353952555520 is 255552593535.

5353952555520 is a `hidden beast` number, since 5 + 3 + 5 + 3 + 95 + 25 + 5 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 1187917107 + ... + 1187921613.

Almost surely, 25353952555520 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 5353952555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9479113547904).

5353952555520 is an abundant number, since it is smaller than the sum of its proper divisors (13604274540288).

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

5353952555520 is a wasteful number, since it uses less digits than its factorization.

5353952555520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 25312500, while the sum is 54.

The spelling of 5353952555520 in words is "five trillion, three hundred fifty-three billion, nine hundred fifty-two million, five hundred fifty-five thousand, five hundred twenty".