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53393676336 = 243372111331569
BaseRepresentation
bin110001101110100000…
…101101100000110000
312002211002121210101000
4301232200231200300
51333322240120321
640310111442000
73600100521600
oct615640554060
9162732553330
1053393676336
112070a37a340
12a421526300
13505bb90430
142827332c00
1515c779d826
hexc6e82d830

53393676336 has 960 divisors, whose sum is σ = 216586137600. Its totient is φ = 12366950400.

The previous prime is 53393676311. The next prime is 53393676373. The reversal of 53393676336 is 63367639335.

53393676336 is a `hidden beast` number, since 533 + 9 + 3 + 6 + 76 + 3 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93837460 + ... + 93838028.

It is an arithmetic number, because the mean of its divisors is an integer number (225610560).

Almost surely, 253393676336 is an apocalyptic number.

53393676336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53393676336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108293068800).

53393676336 is an abundant number, since it is smaller than the sum of its proper divisors (163192461264).

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

53393676336 is a wasteful number, since it uses less digits than its factorization.

53393676336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 54.

The spelling of 53393676336 in words is "fifty-three billion, three hundred ninety-three million, six hundred seventy-six thousand, three hundred thirty-six".