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53449393536 = 273671143173
BaseRepresentation
bin110001110001110101…
…010000010110000000
312002221222110112000000
4301301311100112000
51333431021043121
640315422000000
73601345230450
oct616165202600
9162858415000
1053449393536
1120738875510
12a438116000
13506a59aba6
1428308b7d60
1515cc607526
hexc71d50580

53449393536 has 896 divisors, whose sum is σ = 204848835840. Its totient is φ = 13481717760.

The previous prime is 53449393531. The next prime is 53449393561. The reversal of 53449393536 is 63539394435.

53449393536 is a `hidden beast` number, since 5 + 34 + 49 + 39 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53449393531) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 308955946 + ... + 308956118.

Almost surely, 253449393536 is an apocalyptic number.

53449393536 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 53449393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102424417920).

53449393536 is an abundant number, since it is smaller than the sum of its proper divisors (151399442304).

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

53449393536 is a wasteful number, since it uses less digits than its factorization.

53449393536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 54.

It can be divided in two parts, 53449 and 393536, that added together give a triangular number (446985 = T945).

The spelling of 53449393536 in words is "fifty-three billion, four hundred forty-nine million, three hundred ninety-three thousand, five hundred thirty-six".