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10200192016 = 247236072
BaseRepresentation
bin10010111111111101…
…01001010000010000
3222022212110102221111
421133332221100100
5131342222121031
64404053303104
7510525126100
oct113776512020
928285412844
1010200192016
114364819263
121b88034a94
13c67310ca1
146ca995200
153ea7541b1
hex25ffa9410

10200192016 has 45 divisors (see below), whose sum is σ = 22995838719. Its totient is φ = 4370298912.

The previous prime is 10200191999. The next prime is 10200192029. The reversal of 10200192016 is 61029100201.

The square root of 10200192016 is 100996.

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

10200192016 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2826085 + ... + 2829691.

Almost surely, 210200192016 is an apocalyptic number.

10200192016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10200192016 is the 100996-th square number.

It is an amenable number.

10200192016 is an abundant number, since it is smaller than the sum of its proper divisors (12795646703).

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

10200192016 is an frugal number, since it uses more digits than its factorization.

10200192016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10200192016 its reverse (61029100201), we get a palindrome (71229292217).

The spelling of 10200192016 in words is "ten billion, two hundred million, one hundred ninety-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3607 7214 14428 25249 28856 50498 57712 100996 176743 201992 353486 403984 706972 1413944 2827888 13010449 26020898 52041796 91073143 104083592 182146286 208167184 364292572 637512001 728585144 1275024002 1457170288 2550048004 5100096008 10200192016