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53353779840 = 27355349983
BaseRepresentation
bin110001101100001000…
…100001001010000000
312002201022112211200000
4301230020201022000
51333232031423330
640302124400000
73566104434354
oct615410411200
9162638484600
1053353779840
11206998aa529
12a4100a6000
135053831a3a
142821d09464
1515c401c560
hexc6c221280

53353779840 has 384 divisors, whose sum is σ = 191803248000. Its totient is φ = 14172475392.

The previous prime is 53353779833. The next prime is 53353779907. The reversal of 53353779840 is 4897735335.

53353779840 is a `hidden beast` number, since 5 + 33 + 537 + 79 + 8 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54275989 + ... + 54276971.

It is an arithmetic number, because the mean of its divisors is an integer number (499487625).

Almost surely, 253353779840 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 53353779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95901624000).

53353779840 is an abundant number, since it is smaller than the sum of its proper divisors (138449468160).

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

53353779840 is an equidigital number, since it uses as much as digits as its factorization.

53353779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 53353779840 in words is "fifty-three billion, three hundred fifty-three million, seven hundred seventy-nine thousand, eight hundred forty".