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52728410576 = 2419283769797
BaseRepresentation
bin110001000110110110…
…111011000111010000
312001002201210210022102
4301012312323013100
51330441433114301
640120104455532
73544442044352
oct610666730720
9161081723272
1052728410576
11203a88a4326
12a27677a5a8
134c840c2b5a
1427a2c3b0d2
15158918cb6b
hexc46dbb1d0

52728410576 has 80 divisors (see below), whose sum is σ = 108194116800. Its totient is φ = 24824807424.

The previous prime is 52728410573. The next prime is 52728410597. The reversal of 52728410576 is 67501482725.

52728410576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52728410576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52728410573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66158210 + ... + 66159006.

It is an arithmetic number, because the mean of its divisors is an integer number (1352426460).

Almost surely, 252728410576 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 52728410576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54097058400).

52728410576 is an abundant number, since it is smaller than the sum of its proper divisors (55465706224).

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

52728410576 is a wasteful number, since it uses less digits than its factorization.

52728410576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 52728410576 in words is "fifty-two billion, seven hundred twenty-eight million, four hundred ten thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 152 283 304 566 769 797 1132 1538 1594 2264 3076 3188 4528 5377 6152 6376 10754 12304 12752 14611 15143 21508 29222 30286 43016 58444 60572 86032 116888 121144 217627 225551 233776 242288 435254 451102 612893 870508 902204 1225786 1741016 1804408 2451572 3482032 3608816 4134913 4285469 4903144 8269826 8570938 9806288 11644967 16539652 17141876 23289934 33079304 34283752 46579868 66158608 68567504 93159736 173448719 186319472 346897438 693794876 1387589752 2775179504 3295525661 6591051322 13182102644 26364205288 52728410576