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53142672464 = 2472347195343
BaseRepresentation
bin110001011111100011…
…001101010001010000
312002011121022110210022
4301133203031101100
51332314011004324
640225143523012
73560632156100
oct613743152120
9162147273708
1053142672464
11205a0720422
12a371459468
13501bb88b2b
142801c75200
1515b071c05e
hexc5f8cd450

53142672464 has 60 divisors (see below), whose sum is σ = 120120151104. Its totient is φ = 22709679552.

The previous prime is 53142672461. The next prime is 53142672493. The reversal of 53142672464 is 46427624135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53142672461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174377 + ... + 369719.

Almost surely, 253142672464 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 53142672464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060075552).

53142672464 is an abundant number, since it is smaller than the sum of its proper divisors (66977478640).

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

53142672464 is a wasteful number, since it uses less digits than its factorization.

53142672464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195712 (or 195699 counting only the distinct ones).

The product of its digits is 967680, while the sum is 44.

The spelling of 53142672464 in words is "fifty-three billion, one hundred forty-two million, six hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 347 392 694 784 1388 2429 2776 4858 5552 9716 17003 19432 34006 38864 68012 136024 195343 272048 390686 781372 1367401 1562744 2734802 3125488 5469604 9571807 10939208 19143614 21878416 38287228 67784021 76574456 135568042 153148912 271136084 474488147 542272168 948976294 1084544336 1897952588 3321417029 3795905176 6642834058 7591810352 13285668116 26571336232 53142672464