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53220435840 = 27325111364613
BaseRepresentation
bin110001100100001011…
…110110011110000000
312002101000122021002100
4301210023312132000
51332443412421330
640241002350400
73562565145345
oct614413663600
9162330567070
1053220435840
1120630604180
12a3934bb400
135032015170
14280c3187cc
1515b747d060
hexc642f6780

53220435840 has 384 divisors, whose sum is σ = 215908973280. Its totient is φ = 11909283840.

The previous prime is 53220435833. The next prime is 53220435871. The reversal of 53220435840 is 4853402235.

53220435840 is a `hidden beast` number, since 5 + 32 + 2 + 0 + 43 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 53220435795 and 53220435804.

It is a congruent number.

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, 791374 + ... + 855986.

Almost surely, 253220435840 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 53220435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107954486640).

53220435840 is an abundant number, since it is smaller than the sum of its proper divisors (162688537440).

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

53220435840 is a wasteful number, since it uses less digits than its factorization.

53220435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64662 (or 64647 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 53220435840 in words is "fifty-three billion, two hundred twenty million, four hundred thirty-five thousand, eight hundred forty".