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1351852686864 = 2434322972
BaseRepresentation
bin10011101011000000101…
…100101111111000010000
311210020100221022212110000
4103223000230233320100
5134122043241434424
62513011010410000
7166445112146511
oct23530054577020
94706327285400
101351852686864
11481354665309
12199bb8890900
139a62c943584
1449603d88a08
152527127e3c9
hex13ac0b2fe10

1351852686864 has 75 divisors (see below), whose sum is σ = 3912775029757. Its totient is φ = 450603609984.

The previous prime is 1351852686851. The next prime is 1351852686869. The reversal of 1351852686864 is 4686862581531.

The square root of 1351852686864 is 1162692.

It is a perfect power (a square), and thus also a powerful number.

1351852686864 is a `hidden beast` number, since 1 + 3 + 518 + 52 + 6 + 8 + 6 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1309330947600 + 42521739264 = 1144260^2 + 206208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1351852686869) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 41840764 + ... + 41873060.

Almost surely, 21351852686864 is an apocalyptic number.

1351852686864 is the 1162692-nd square number.

It is an amenable number.

1351852686864 is an abundant number, since it is smaller than the sum of its proper divisors (2560922342893).

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

1351852686864 is an frugal number, since it uses more digits than its factorization.

1351852686864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64614 (or 32302 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 1351852686864 in words is "one trillion, three hundred fifty-one billion, eight hundred fifty-two million, six hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 32297 64594 96891 129188 193782 258376 290673 387564 516752 581346 775128 872019 1162692 1550256 1744038 2325384 2616057 3488076 4650768 5232114 6976152 10464228 13952304 20928456 41856912 1043096209 2086192418 3129288627 4172384836 6258577254 8344769672 9387865881 12517154508 16689539344 18775731762 25034309016 28163597643 37551463524 50068618032 56327195286 75102927048 84490792929 112654390572 150205854096 168981585858 225308781144 337963171716 450617562288 675926343432 1351852686864