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52248091005 = 32511225737337
BaseRepresentation
bin110000101010001110…
…101001100101111101
311222212021000000201200
4300222032221211331
51324001002403010
640000305530113
73526520305635
oct605216514575
9158767000650
1052248091005
112018175a100
12a161943939
134c0873b8a6
1427591296c5
15155be10cc0
hexc2a3a997d

52248091005 has 72 divisors (see below), whose sum is σ = 99934858296. Its totient is φ = 25233162240.

The previous prime is 52248090949. The next prime is 52248091061. The reversal of 52248091005 is 50019084225.

52248091005 is a `hidden beast` number, since 522 + 48 + 0 + 91 + 0 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (52248090949) and next prime (52248091061).

It can be written as a sum of positive squares in 4 ways, for example, as 23465950596 + 28782140409 = 153186^2 + 169653^2 .

It is not a de Polignac number, because 52248091005 - 29 = 52248090493 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1380697 + ... + 1418033.

It is an arithmetic number, because the mean of its divisors is an integer number (1387984143).

Almost surely, 252248091005 is an apocalyptic number.

52248091005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52248091005 is a deficient number, since it is larger than the sum of its proper divisors (47686767291).

52248091005 is a wasteful number, since it uses less digits than its factorization.

52248091005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37627 (or 37613 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 52248091005 in words is "fifty-two billion, two hundred forty-eight million, ninety-one thousand, five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 257 363 495 605 771 1089 1285 1815 2313 2827 3855 5445 8481 11565 14135 25443 31097 37337 42405 93291 112011 127215 155485 186685 279873 336033 410707 466455 560055 1232121 1399365 1680165 2053535 3696363 4517777 6160605 9595609 13553331 18481815 22588885 28786827 40659993 47978045 67766655 86360481 105551699 143934135 203299965 316655097 431802405 527758495 949965291 1161068689 1583275485 3483206067 4749826455 5805343445 10449618201 17416030335 52248091005