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10053382248 = 23327132366713
BaseRepresentation
bin10010101110011101…
…00111000001101000
3221221122012201210200
421113032213001220
5131042131212443
64341330512200
7504063224220
oct112716470150
927848181720
1010053382248
114299965978
121b46a35660
13c42a8b1c0
146b529b080
153dc904dd3
hex2573a7068

10053382248 has 192 divisors, whose sum is σ = 34968810240. Its totient is φ = 2536123392.

The previous prime is 10053382217. The next prime is 10053382289. The reversal of 10053382248 is 84228335001.

10053382248 is a `hidden beast` number, since 1 + 0 + 0 + 533 + 82 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 117340 + ... + 184052.

It is an arithmetic number, because the mean of its divisors is an integer number (182129220).

Almost surely, 210053382248 is an apocalyptic number.

10053382248 is a gapful number since it is divisible by the number (18) 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 10053382248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484405120).

10053382248 is an abundant number, since it is smaller than the sum of its proper divisors (24915427992).

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

10053382248 is a wasteful number, since it uses less digits than its factorization.

10053382248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66768 (or 66761 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10053382248 in words is "ten billion, fifty-three million, three hundred eighty-two thousand, two hundred forty-eight".