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10314611536 = 245317370309
BaseRepresentation
bin10011001101100110…
…00111101101010000
3222121211202120000111
421212303013231100
5132111020032121
64423301531104
7513414515515
oct114663075520
928554676014
1010314611536
114413369349
121bba413a94
13c84c32b48
146dbc5b30c
154058062e1
hex266cc7b50

10314611536 has 40 divisors (see below), whose sum is σ = 20479615560. Its totient is φ = 5030678016.

The previous prime is 10314611513. The next prime is 10314611563. The reversal of 10314611536 is 63511641301.

10314611536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2922051136 + 7392560400 = 54056^2 + 85980^2 .

It is a super-2 number, since 2×103146115362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10314611498 and 10314611507.

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 7 ways as a sum of consecutive naturals, for example, 111550 + ... + 181858.

It is an arithmetic number, because the mean of its divisors is an integer number (511990389).

Almost surely, 210314611536 is an apocalyptic number.

10314611536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10314611536 is a deficient number, since it is larger than the sum of its proper divisors (10165004024).

10314611536 is a wasteful number, since it uses less digits than its factorization.

10314611536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70543 (or 70537 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 10314611536 in words is "ten billion, three hundred fourteen million, six hundred eleven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 53 106 173 212 346 424 692 848 1384 2768 9169 18338 36676 70309 73352 140618 146704 281236 562472 1124944 3726377 7452754 12163457 14905508 24326914 29811016 48653828 59622032 97307656 194615312 644663221 1289326442 2578652884 5157305768 10314611536