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10309863936 = 29331415281
BaseRepresentation
bin10011001101000010…
…00000101000000000
3222121111211100112110
421212201000220000
5132103311121221
64423012055320
7513326253231
oct114641005000
928544740473
1010309863936
114410716409
121bb8904540
13c83c5cc08
146db383088
154051b9776
hex266840a00

10309863936 has 160 divisors (see below), whose sum is σ = 29049140736. Its totient is φ = 3244032000.

The previous prime is 10309863917. The next prime is 10309863947. The reversal of 10309863936 is 63936890301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949616 + ... + 1954896.

Almost surely, 210309863936 is an apocalyptic number.

10309863936 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 10309863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524570368).

10309863936 is an abundant number, since it is smaller than the sum of its proper divisors (18739276800).

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

10309863936 is an equidigital number, since it uses as much as digits as its factorization.

10309863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 10309863936 in words is "ten billion, three hundred nine million, eight hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 128 164 186 192 246 248 256 328 372 384 492 496 512 656 744 768 984 992 1271 1312 1488 1536 1968 1984 2542 2624 2976 3813 3936 3968 5084 5248 5281 5952 7626 7872 7936 10168 10496 10562 11904 15252 15744 15843 15872 20336 20992 21124 23808 30504 31488 31686 40672 42248 47616 61008 62976 63372 81344 84496 122016 126744 162688 163711 168992 216521 244032 253488 325376 327422 337984 433042 488064 491133 506976 649563 650752 654844 675968 866084 976128 982266 1013952 1299126 1309688 1351936 1732168 1952256 1964532 2027904 2598252 2619376 2703872 3464336 3929064 4055808 5196504 5238752 6712151 6928672 7858128 8111616 10393008 10477504 13424302 13857344 15716256 20136453 20786016 20955008 26848604 27714688 31432512 40272906 41572032 41910016 53697208 55429376 62865024 80545812 83144064 83820032 107394416 110858752 125730048 161091624 166288128 214788832 251460096 322183248 332576256 429577664 644366496 859155328 1288732992 1718310656 2577465984 3436621312 5154931968 10309863936