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10060892416 = 2862692
BaseRepresentation
bin10010101111010110…
…10000100100000000
3221222011100021211001
421113223100210000
5131101042024131
64342155501344
7504214113601
oct112753204400
927864307731
1010060892416
1142a3125423
121b49457854
13c444ba6a3
146b6293da8
153dd3da261
hex257ad0900

10060892416 has 27 divisors (see below), whose sum is σ = 20085688441. Its totient is φ = 5029643776.

The previous prime is 10060892399. The next prime is 10060892423. The reversal of 10060892416 is 61429806001.

It is a happy number.

The square root of 10060892416 is 100304.

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

It can be written as a sum of positive squares in only one way, i.e., 3191798016 + 6869094400 = 56496^2 + 82880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1601730 + ... + 1607998.

Almost surely, 210060892416 is an apocalyptic number.

10060892416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10060892416 is the 100304-th square number.

It is an amenable number.

10060892416 is a deficient number, since it is larger than the sum of its proper divisors (10024796025).

10060892416 is an frugal number, since it uses more digits than its factorization.

10060892416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Multiplying 10060892416 by its product of nonzero digits (20736), we get a square (208622665138176 = 144437762).

The spelling of 10060892416 in words is "ten billion, sixty million, eight hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 6269 12538 25076 50152 100304 200608 401216 802432 1604864 39300361 78600722 157201444 314402888 628805776 1257611552 2515223104 5030446208 10060892416