Search a number
-
+
52788097394424 = 233471719471634703
BaseRepresentation
bin11000000000010101011111…
…10010110010011011111000
320220220111022021021211210000
430000022233302302123320
523404340010413110144
6304134303412353000
714055546156305220
oct1400125762623370
9226814267254700
1052788097394424
1115902340883957
125b0682b015760
13235bb8600ca22
14d06d59715080
15618215eeb769
hex3002afcb26f8

52788097394424 has 1280 divisors, whose sum is σ = 193562630553600. Its totient is φ = 13078350139392.

The previous prime is 52788097394411. The next prime is 52788097394437. The reversal of 52788097394424 is 42449379088725.

It is a happy number.

52788097394424 is a `hidden beast` number, since 5 + 2 + 7 + 8 + 80 + 97 + 39 + 4 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (52788097394411) and next prime (52788097394437).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11224343257 + ... + 11224347959.

It is an arithmetic number, because the mean of its divisors is an integer number (151220805120).

Almost surely, 252788097394424 is an apocalyptic number.

52788097394424 is a gapful number since it is divisible by the number (54) 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 52788097394424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96781315276800).

52788097394424 is an abundant number, since it is smaller than the sum of its proper divisors (140774533159176).

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

52788097394424 is a wasteful number, since it uses less digits than its factorization.

52788097394424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 52788097394424 in words is "fifty-two trillion, seven hundred eighty-eight billion, ninety-seven million, three hundred ninety-four thousand, four hundred twenty-four".