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10424402432 = 29672291327
BaseRepresentation
bin10011011010101011…
…11100001000000000
3222220111100111210222
421231111330020000
5132322121334212
64442223042212
7516216646553
oct115525741000
928814314728
1010424402432
11446a337924
12202b140368
13ca18c3c82
1470c67a69a
15410291c72
hex26d57c200

10424402432 has 80 divisors (see below), whose sum is σ = 21247628160. Its totient is φ = 5108133888.

The previous prime is 10424402411. The next prime is 10424402441. The reversal of 10424402432 is 23420442401.

It is a happy number.

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, 7854953 + ... + 7856279.

It is an arithmetic number, because the mean of its divisors is an integer number (265595352).

Almost surely, 210424402432 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 10424402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623814080).

10424402432 is an abundant number, since it is smaller than the sum of its proper divisors (10823225728).

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

10424402432 is an equidigital number, since it uses as much as digits as its factorization.

10424402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10424402432 its reverse (23420442401), we get a palindrome (33844844833).

The spelling of 10424402432 in words is "ten billion, four hundred twenty-four million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 229 256 268 458 512 536 916 1072 1327 1832 2144 2654 3664 4288 5308 7328 8576 10616 14656 15343 17152 21232 29312 30686 34304 42464 58624 61372 84928 88909 117248 122744 169856 177818 245488 303883 339712 355636 490976 607766 679424 711272 981952 1215532 1422544 1963904 2431064 2845088 3927808 4862128 5690176 7855616 9724256 11380352 19448512 20360161 22760704 38897024 40720322 45521408 77794048 81440644 155588096 162881288 325762576 651525152 1303050304 2606100608 5212201216 10424402432