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10422312432 = 243738380989
BaseRepresentation
bin10011011010011011…
…11101110111110000
3222220100102022212120
421231031331313300
5132321102444212
64442110154240
7516163123350
oct115515756760
928810368776
1010422312432
11446913a654
12202a4b2980
13ca134189c
1470c294b60
1540eecc88c
hex26d37ddf0

10422312432 has 80 divisors (see below), whose sum is σ = 30851358720. Its totient is φ = 2969991936.

The previous prime is 10422312431. The next prime is 10422312479. The reversal of 10422312432 is 23421322401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422312431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88194 + ... + 169182.

It is an arithmetic number, because the mean of its divisors is an integer number (385641984).

Almost surely, 210422312432 is an apocalyptic number.

10422312432 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 10422312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425679360).

10422312432 is an abundant number, since it is smaller than the sum of its proper divisors (20429046288).

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

10422312432 is a wasteful number, since it uses less digits than its factorization.

10422312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81390 (or 81384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10422312432 its reverse (23421322401), we get a palindrome (33843634833).

The spelling of 10422312432 in words is "ten billion, four hundred twenty-two million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 383 766 1149 1532 2298 2681 3064 4596 5362 6128 8043 9192 10724 16086 18384 21448 32172 42896 64344 80989 128688 161978 242967 323956 485934 566923 647912 971868 1133846 1295824 1700769 1943736 2267692 3401538 3887472 4535384 6803076 9070768 13606152 27212304 31018787 62037574 93056361 124075148 186112722 217131509 248150296 372225444 434263018 496300592 651394527 744450888 868526036 1302789054 1488901776 1737052072 2605578108 3474104144 5211156216 10422312432