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52770237696 = 283511671151
BaseRepresentation
bin110001001001010110…
…011110110100000000
312001012122111211100000
4301021112132310000
51331033140101241
640124201200000
73545460422331
oct611126366400
9161178454300
1052770237696
112041a4726a0
12a288790000
134c8c979227
1427a8608288
15158cba0eb6
hexc4959ed00

52770237696 has 432 divisors, whose sum is σ = 174849712128. Its totient is φ = 15738624000.

The previous prime is 52770237577. The next prime is 52770237781. The reversal of 52770237696 is 69673207725.

52770237696 is a `hidden beast` number, since 527 + 7 + 0 + 23 + 7 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 45846721 + ... + 45847871.

It is an arithmetic number, because the mean of its divisors is an integer number (404744704).

Almost surely, 252770237696 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 52770237696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87424856064).

52770237696 is an abundant number, since it is smaller than the sum of its proper divisors (122079474432).

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

52770237696 is a wasteful number, since it uses less digits than its factorization.

52770237696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 52770237696 in words is "fifty-two billion, seven hundred seventy million, two hundred thirty-seven thousand, six hundred ninety-six".