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52808268384 = 2533556310987
BaseRepresentation
bin110001001011100111…
…100011101001100000
312001022022001222122000
4301023213203221200
51331122404042014
640132040244000
73546431606064
oct611347435140
9161268058560
1052808268384
1120439988713
12a299470600
134c978035b1
1427ad6a7aa4
1515911b4509
hexc4b9e3a60

52808268384 has 96 divisors (see below), whose sum is σ = 154065824640. Its totient is φ = 17597990016.

The previous prime is 52808268377. The next prime is 52808268397. The reversal of 52808268384 is 48386280825.

52808268384 is a `hidden beast` number, since 52 + 80 + 82 + 68 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52808268384.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4800939 + ... + 4811925.

It is an arithmetic number, because the mean of its divisors is an integer number (1604852340).

Almost surely, 252808268384 is an apocalyptic number.

52808268384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52808268384 is an abundant number, since it is smaller than the sum of its proper divisors (101257556256).

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

52808268384 is a wasteful number, since it uses less digits than its factorization.

52808268384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16569 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 52808268384 in words is "fifty-two billion, eight hundred eight million, two hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5563 10987 11126 16689 21974 22252 32961 33378 43948 44504 50067 65922 66756 87896 89008 98883 100134 131844 133512 150201 175792 178016 197766 200268 263688 267024 296649 300402 351584 395532 400536 527376 534048 593298 600804 791064 801072 1054752 1186596 1201608 1582128 1602144 2373192 2403216 3164256 4746384 4806432 9492768 61120681 122241362 183362043 244482724 366724086 488965448 550086129 733448172 977930896 1100172258 1466896344 1650258387 1955861792 2200344516 2933792688 3300516774 4400689032 5867585376 6601033548 8801378064 13202067096 17602756128 26404134192 52808268384