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10317683776 = 26126972
BaseRepresentation
bin10011001101111101…
…10101110001000000
3222122001112122100011
421212332311301000
5132112311340101
64423451434304
7513452602501
oct114676656100
928561478304
1010317683776
114415077594
121bbb455994
13c8576a33a
146dc41aba8
15405c11751
hex266fb5c40

10317683776 has 21 divisors (see below), whose sum is σ = 20475766389. Its totient is φ = 5158435584.

The previous prime is 10317683723. The next prime is 10317683801. The reversal of 10317683776 is 67738671301.

The square root of 10317683776 is 101576.

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

10317683776 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 only one way, i.e., 2104974400 + 8212709376 = 45880^2 + 90624^2 .

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 806260 + ... + 818956.

Almost surely, 210317683776 is an apocalyptic number.

10317683776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10317683776 is the 101576-th square number.

It is an amenable number.

10317683776 is a deficient number, since it is larger than the sum of its proper divisors (10158082613).

10317683776 is an frugal number, since it uses more digits than its factorization.

10317683776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25406 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

Multiplying 10317683776 by its sum of digits (49), we get a square (505566505024 = 7110322).

The spelling of 10317683776 in words is "ten billion, three hundred seventeen million, six hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 12697 25394 50788 101576 203152 406304 812608 161213809 322427618 644855236 1289710472 2579420944 5158841888 10317683776