Search a number
-
+
10699006096 = 2419213612
BaseRepresentation
bin10011111011011010…
…11110000010010000
31000121122001211020001
421331231132002100
5133402421143341
64525352455344
7526063023412
oct117555360220
930548054201
1010699006096
1145a03456a9
1220a70aa554
13101676c34c
14736d1c9b2
15429435d31
hex27db5e090

10699006096 has 45 divisors (see below), whose sum is σ = 21893849913. Its totient is φ = 5064226560.

The previous prime is 10699006081. The next prime is 10699006121. The reversal of 10699006096 is 69060099601.

The square root of 10699006096 is 103436.

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

10699006096 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., 1817828496 + 8881177600 = 42636^2 + 94240^2 .

It is a super-2 number, since 2×106990060962 (a number of 21 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 7860456 + ... + 7861816.

Almost surely, 210699006096 is an apocalyptic number.

10699006096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10699006096 is the 103436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10699006096

10699006096 is an abundant number, since it is smaller than the sum of its proper divisors (11194843817).

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

10699006096 is an frugal number, since it uses more digits than its factorization.

10699006096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 46.

The spelling of 10699006096 in words is "ten billion, six hundred ninety-nine million, six thousand, ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1361 1444 2722 2888 5444 5776 10888 21776 25859 51718 103436 206872 413744 491321 982642 1852321 1965284 3704642 3930568 7409284 7861136 14818568 29637136 35194099 70388198 140776396 281552792 563105584 668687881 1337375762 2674751524 5349503048 10699006096