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252602406122 = 211176710199809
BaseRepresentation
bin1110101101000001000…
…1101101010011101010
3220011000021222210012012
43223100101231103222
513114312203443442
6312013254115522
724151503011423
oct3532021552352
9804007883165
10252602406122
1198145522510
1240b5804bba2
131aa88295081
14c3242bc64a
156886522582
hex3ad046d4ea

252602406122 has 64 divisors (see below), whose sum is σ = 448598839680. Its totient is φ = 105397248000.

The previous prime is 252602406059. The next prime is 252602406137. The reversal of 252602406122 is 221604206252.

252602406122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2480954 + ... + 2580762.

It is an arithmetic number, because the mean of its divisors is an integer number (7009356870).

Almost surely, 2252602406122 is an apocalyptic number.

252602406122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

252602406122 is a deficient number, since it is larger than the sum of its proper divisors (195996433558).

252602406122 is a wasteful number, since it uses less digits than its factorization.

252602406122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100007.

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 252602406122 in words is "two hundred fifty-two billion, six hundred two million, four hundred six thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 67 101 134 187 202 374 737 1111 1139 1474 1717 2222 2278 3434 6767 12529 13534 18887 25058 37774 74437 99809 115039 148874 199618 230078 1097899 1265429 1696753 2195798 2530858 3393506 6687203 10080709 13374406 18664283 20161418 37328566 73559233 110887799 113682451 147118466 171372053 221775598 227364902 342744106 675407503 1250506961 1350815006 1885092583 2501013922 3770185166 7429482533 11481927551 14858965066 22963855102 126301203061 252602406122