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53328279906 = 235113194339
BaseRepresentation
bin110001101010100111…
…001111100101100010
312002122112120022100000
4301222213033211202
51333204014424111
640255414040430
73565344620466
oct615247174542
9162575508300
1053328279906
1120686473000
12a403649116
13504b474115
14281c78c4a6
1515c1b81c56
hexc6a9cf962

53328279906 has 192 divisors, whose sum is σ = 138766118400. Its totient is φ = 15306025680.

The previous prime is 53328279751. The next prime is 53328279911. The reversal of 53328279906 is 60997282335.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12288285 + ... + 12292623.

It is an arithmetic number, because the mean of its divisors is an integer number (722740200).

Almost surely, 253328279906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53328279906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69383059200).

53328279906 is an abundant number, since it is smaller than the sum of its proper divisors (85437838494).

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

53328279906 is a wasteful number, since it uses less digits than its factorization.

53328279906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 53328279906 in words is "fifty-three billion, three hundred twenty-eight million, two hundred seventy-nine thousand, nine hundred six".