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10402433132 = 2271367735843
BaseRepresentation
bin10011011000000100…
…01000100001101100
3222211222000100121012
421230002020201230
5132301010330012
64440120124352
7515532136250
oct115402104154
928758010535
1010402433132
1144589a1a83
1220239066b8
13c9a1a13a0
1470979c260
1540d3a2622
hex26c08886c

10402433132 has 96 divisors (see below), whose sum is σ = 23055094272. Its totient is φ = 3997610496.

The previous prime is 10402433131. The next prime is 10402433147. The reversal of 10402433132 is 23133420401.

It is a junction number, because it is equal to n+sod(n) for n = 10402433098 and 10402433107.

It is not an unprimeable number, because it can be changed into a prime (10402433131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777403 + ... + 1783245.

It is an arithmetic number, because the mean of its divisors is an integer number (240157232).

Almost surely, 210402433132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402433132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527547136).

10402433132 is an abundant number, since it is smaller than the sum of its proper divisors (12652661140).

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

10402433132 is a wasteful number, since it uses less digits than its factorization.

10402433132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10402433132 its reverse (23133420401), we get a palindrome (33535853533).

The spelling of 10402433132 in words is "ten billion, four hundred two million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 67 73 91 134 146 182 268 292 364 469 511 871 938 949 1022 1742 1876 1898 2044 3484 3796 4891 5843 6097 6643 9782 11686 12194 13286 19564 23372 24388 26572 34237 40901 63583 68474 75959 81802 127166 136948 151918 163604 254332 303836 391481 426539 445081 531713 782962 853078 890162 1063426 1565924 1706156 1780324 2126852 2740367 2985773 5089253 5480734 5545007 5971546 10178506 10961468 11090014 11943092 20357012 22180028 28578113 35624771 38815049 57156226 71249542 77630098 114312452 142499084 155260196 200046791 371515469 400093582 743030938 800187164 1486061876 2600608283 5201216566 10402433132