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10407016404 = 223510706807
BaseRepresentation
bin10011011000100111…
…00111011111010100
3222212021122012200000
421230103213133110
5132303144011104
64440402251300
7515616115461
oct115423473724
928767565600
1010407016404
114460542504
122025356b30
13c9b117595
1470a232668
1540d9aa639
hex26c4e77d4

10407016404 has 36 divisors (see below), whose sum is σ = 27280946784. Its totient is φ = 3469005144.

The previous prime is 10407016393. The next prime is 10407016409. The reversal of 10407016404 is 40461070401.

10407016404 is a `hidden beast` number, since 10 + 4 + 0 + 7 + 0 + 1 + 640 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407016409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5352432 + ... + 5354375.

Almost surely, 210407016404 is an apocalyptic number.

It is an amenable number.

10407016404 is an abundant number, since it is smaller than the sum of its proper divisors (16873930380).

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

10407016404 is a wasteful number, since it uses less digits than its factorization.

10407016404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706826 (or 10706812 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10407016404 its reverse (40461070401), we get a palindrome (50868086805).

The spelling of 10407016404 in words is "ten billion, four hundred seven million, sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 10706807 21413614 32120421 42827228 64240842 96361263 128481684 192722526 289083789 385445052 578167578 867251367 1156335156 1734502734 2601754101 3469005468 5203508202 10407016404