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10412134032 = 2435922316487
BaseRepresentation
bin10011011001001110…
…01000111010010000
3222212122021012201210
421230213020322100
5132311001242112
64441104100120
7516010451616
oct115447107220
928778235653
1010412134032
114463418453
122027004640
13c9c1b9a71
1470aba56b6
1540e16bb3c
hex26c9c8e90

10412134032 has 80 divisors (see below), whose sum is σ = 27478241280. Its totient is φ = 3396379776.

The previous prime is 10412134013. The next prime is 10412134037. The reversal of 10412134032 is 23043121401.

It is not an unprimeable number, because it can be changed into a prime (10412134037) 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, 623293 + ... + 639779.

It is an arithmetic number, because the mean of its divisors is an integer number (343478016).

Almost surely, 210412134032 is an apocalyptic number.

10412134032 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 10412134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739120640).

10412134032 is an abundant number, since it is smaller than the sum of its proper divisors (17066107248).

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

10412134032 is a wasteful number, since it uses less digits than its factorization.

10412134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16780 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10412134032 its reverse (23043121401), we get a palindrome (33455255433).

The spelling of 10412134032 in words is "ten billion, four hundred twelve million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 223 236 354 446 472 669 708 892 944 1338 1416 1784 2676 2832 3568 5352 10704 13157 16487 26314 32974 39471 49461 52628 65948 78942 98922 105256 131896 157884 197844 210512 263792 315768 395688 631536 791376 972733 1945466 2918199 3676601 3890932 5836398 7353202 7781864 11029803 11672796 14706404 15563728 22059606 23345592 29412808 44119212 46691184 58825616 88238424 176476848 216919459 433838918 650758377 867677836 1301516754 1735355672 2603033508 3470711344 5206067016 10412134032