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10413320016 = 2431121792927
BaseRepresentation
bin10011011001010111…
…01010011101010000
3222212201111110121010
421230223222131100
5132311302220031
64441145330520
7516023521401
oct115453523520
928781443533
1010413320016
114464058500
122027496a40
13c9c513828
1470add39a8
1540e303246
hex26caea750

10413320016 has 60 divisors (see below), whose sum is σ = 29568968576. Its totient is φ = 3155549760.

The previous prime is 10413319999. The next prime is 10413320017. The reversal of 10413320016 is 61002331401.

10413320016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10413319974 and 10413320001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413320017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 890656 + ... + 902271.

Almost surely, 210413320016 is an apocalyptic number.

10413320016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10413320016 is an abundant number, since it is smaller than the sum of its proper divisors (19155648560).

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

10413320016 is a wasteful number, since it uses less digits than its factorization.

10413320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792960 (or 1792943 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10413320016 its reverse (61002331401), we get a palindrome (71415651417).

The spelling of 10413320016 in words is "ten billion, four hundred thirteen million, three hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 1792927 3585854 5378781 7171708 10757562 14343416 19722197 21515124 28686832 39444394 43030248 59166591 78888788 86060496 118333182 157777576 216944167 236666364 315555152 433888334 473332728 650832501 867776668 946665456 1301665002 1735553336 2603330004 3471106672 5206660008 10413320016