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10408422016 = 272911632411
BaseRepresentation
bin10011011000110001…
…11110101010000000
3222212101021121210201
421230120332222000
5132304024001031
64440452334544
7515634061456
oct115430765200
928771247721
1010408422016
114461312573
122025914454
13c9b4ba2c5
1470a4ba9d6
1540db86d61
hex26c63ea80

10408422016 has 64 divisors (see below), whose sum is σ = 21477895200. Its totient is φ = 5018352640.

The previous prime is 10408422007. The next prime is 10408422043. The reversal of 10408422016 is 61022480401.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4315851 + ... + 4318261.

Almost surely, 210408422016 is an apocalyptic number.

10408422016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10408422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738947600).

10408422016 is an abundant number, since it is smaller than the sum of its proper divisors (11069473184).

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

10408422016 is a wasteful number, since it uses less digits than its factorization.

10408422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 10408422016 in words is "ten billion, four hundred eight million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1163 1856 2326 2411 3712 4652 4822 9304 9644 18608 19288 33727 37216 38576 67454 69919 74432 77152 134908 139838 148864 154304 269816 279676 308608 539632 559352 1079264 1118704 2158528 2237408 2803993 4317056 4474816 5607986 8949632 11215972 22431944 44863888 81315797 89727776 162631594 179455552 325263188 358911104 650526376 1301052752 2602105504 5204211008 10408422016