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10514972226 = 23111733727809
BaseRepresentation
bin10011100101011110…
…11011111001000010
31000010210202221012210
421302233123321002
5133013313102401
64455220202550
7521366534463
oct116257337102
930123687183
1010514972226
1145064782a0
122055539456
13cb75b5375
1471a6d4d6a
154181d24d6
hex272bdbe42

10514972226 has 64 divisors (see below), whose sum is σ = 24364229760. Its totient is φ = 2989916160.

The previous prime is 10514972213. The next prime is 10514972231. The reversal of 10514972226 is 62227941501.

It is a super-2 number, since 2×105149722262 (a number of 21 digits) contains 22 as substring.

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, 364210 + ... + 392018.

It is an arithmetic number, because the mean of its divisors is an integer number (380691090).

Almost surely, 210514972226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514972226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182114880).

10514972226 is an abundant number, since it is smaller than the sum of its proper divisors (13849257534).

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

10514972226 is a wasteful number, since it uses less digits than its factorization.

10514972226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28179.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10514972226 in words is "ten billion, five hundred fourteen million, nine hundred seventy-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 337 374 561 674 1011 1122 2022 3707 5729 7414 11121 11458 17187 22242 27809 34374 55618 63019 83427 126038 166854 189057 305899 378114 472753 611798 917697 945506 1418259 1835394 2836518 5200283 9371633 10400566 15600849 18743266 28114899 31201698 56229798 103087963 159317761 206175926 309263889 318635522 477953283 618527778 955906566 1752495371 3504990742 5257486113 10514972226