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10450005312 = 263374313413
BaseRepresentation
bin10011011101101111…
…00110110101000000
3222222021112021100210
421232313212311000
5132400200132222
64444535514120
7516650402535
oct115667466500
928867467323
1010450005312
11448283472a
122037828940
13ca6cb96c6
14711c22d8c
1541264cd0c
hex26ede6d40

10450005312 has 112 divisors (see below), whose sum is σ = 28470465792. Its totient is φ = 3380336640.

The previous prime is 10450005289. The next prime is 10450005329. The reversal of 10450005312 is 21350005401.

It is a super-2 number, since 2×104500053122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 3060118 + ... + 3063530.

Almost surely, 210450005312 is an apocalyptic number.

10450005312 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 10450005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235232896).

10450005312 is an abundant number, since it is smaller than the sum of its proper divisors (18020460480).

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

10450005312 is a wasteful number, since it uses less digits than its factorization.

10450005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 10450005312 in words is "ten billion, four hundred fifty million, five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 431 444 592 862 888 1184 1293 1724 1776 2368 2586 3413 3448 3552 5172 6826 6896 7104 10239 10344 13652 13792 15947 20478 20688 27304 27584 31894 40956 41376 47841 54608 63788 81912 82752 95682 109216 126281 127576 163824 191364 218432 252562 255152 327648 378843 382728 505124 510304 655296 757686 765456 1010248 1020608 1471003 1515372 1530912 2020496 2942006 3030744 3061824 4040992 4413009 5884012 6061488 8081984 8826018 11768024 12122976 17652036 23536048 24245952 35304072 47072096 54427111 70608144 94144192 108854222 141216288 163281333 217708444 282432576 326562666 435416888 653125332 870833776 1306250664 1741667552 2612501328 3483335104 5225002656 10450005312