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10404816016 = 247236432
BaseRepresentation
bin10011011000010110…
…01110010010010000
3222212010111102022011
421230023032102100
5132302113103031
64440243152304
7515561322400
oct115413162220
928763442264
1010404816016
11445a27a301
122024675694
13c9a826b8a
14709c1c800
1540d6c36b1
hex26c2ce490

10404816016 has 45 divisors (see below), whose sum is σ = 23457089331. Its totient is φ = 4457982816.

The previous prime is 10404815887. The next prime is 10404816029. The reversal of 10404816016 is 61061840401.

The square root of 10404816016 is 102004.

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

It is a super-2 number, since 2×104048160162 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2854291 + ... + 2857933.

Almost surely, 210404816016 is an apocalyptic number.

10404816016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10404816016 is the 102004-th square number.

It is an amenable number.

10404816016 is an abundant number, since it is smaller than the sum of its proper divisors (13052273315).

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

10404816016 is an frugal number, since it uses more digits than its factorization.

10404816016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 10404816016 in words is "ten billion, four hundred four million, eight hundred sixteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3643 7286 14572 25501 29144 51002 58288 102004 178507 204008 357014 408016 714028 1428056 2856112 13271449 26542898 53085796 92900143 106171592 185800286 212343184 371600572 650301001 743201144 1300602002 1486402288 2601204004 5202408008 10404816016