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10269012432 = 2437293104309
BaseRepresentation
bin10011001000001010…
…01011000111010000
3222111122221212210210
421210011023013100
5132012331344212
64414552324120
7512322110520
oct114405130720
928448855723
1010269012432
11439a654038
121ba70a3640
13c78658923
146d5b8b680
154017ea53c
hex26414b1d0

10269012432 has 80 divisors (see below), whose sum is σ = 30421802880. Its totient is φ = 2923961856.

The previous prime is 10269012389. The next prime is 10269012443. The reversal of 10269012432 is 23421096201.

It is a self number, because there is not a number n which added to its sum of digits gives 10269012432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46294 + ... + 150602.

It is an arithmetic number, because the mean of its divisors is an integer number (380272536).

Almost surely, 210269012432 is an apocalyptic number.

10269012432 is a gapful number since it is divisible by the number (12) 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 10269012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210901440).

10269012432 is an abundant number, since it is smaller than the sum of its proper divisors (20152790448).

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

10269012432 is a wasteful number, since it uses less digits than its factorization.

10269012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104620 (or 104614 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10269012432 in words is "ten billion, two hundred sixty-nine million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 293 336 586 879 1172 1758 2051 2344 3516 4102 4688 6153 7032 8204 12306 14064 16408 24612 32816 49224 98448 104309 208618 312927 417236 625854 730163 834472 1251708 1460326 1668944 2190489 2503416 2920652 4380978 5006832 5841304 8761956 11682608 17523912 30562537 35047824 61125074 91687611 122250148 183375222 213937759 244500296 366750444 427875518 489000592 641813277 733500888 855751036 1283626554 1467001776 1711502072 2567253108 3423004144 5134506216 10269012432