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52774143744 = 283779313397
BaseRepresentation
bin110001001001100101…
…011000011100000000
312001012220212021102110
4301021211120130000
51331040140044434
640124421015320
73545535551250
oct611145303400
9161186767373
1052774143744
11204216a0333
12a289b54540
134c907160ba
1427a8d43960
15158d1c34e9
hexc49958700

52774143744 has 288 divisors, whose sum is σ = 163483371520. Its totient is φ = 14802518016.

The previous prime is 52774143727. The next prime is 52774143757. The reversal of 52774143744 is 44734147725.

It is a super-2 number, since 2×527741437442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 52774143693 and 52774143702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132932154 + ... + 132932550.

Almost surely, 252774143744 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 52774143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81741685760).

52774143744 is an abundant number, since it is smaller than the sum of its proper divisors (110709227776).

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

52774143744 is a wasteful number, since it uses less digits than its factorization.

52774143744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 801 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 48.

The spelling of 52774143744 in words is "fifty-two billion, seven hundred seventy-four million, one hundred forty-three thousand, seven hundred forty-four".