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10413433032 = 233377921879
BaseRepresentation
bin10011011001011000…
…00110000011001000
3222212201201012121220
421230230012003020
5132311314324112
64441152002040
7516024502032
oct115454060310
928781635556
1010413433032
114464125402
122027530320
13c9c5530c2
1470b022c52
1540e32698c
hex26cb060c8

10413433032 has 96 divisors (see below), whose sum is σ = 27094334400. Its totient is φ = 3332803968.

The previous prime is 10413433027. The next prime is 10413433039. The reversal of 10413433032 is 23033431401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10413432993 and 10413433011.

It is not an unprimeable number, because it can be changed into a prime (10413433039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5541069 + ... + 5542947.

It is an arithmetic number, because the mean of its divisors is an integer number (282232650).

Almost surely, 210413433032 is an apocalyptic number.

10413433032 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 10413433032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547167200).

10413433032 is an abundant number, since it is smaller than the sum of its proper divisors (16680901368).

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

10413433032 is a wasteful number, since it uses less digits than its factorization.

10413433032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10413433032 its reverse (23033431401), we get a palindrome (33446864433).

The spelling of 10413433032 in words is "ten billion, four hundred thirteen million, four hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 296 316 444 474 632 888 948 1879 1896 2923 3758 5637 5846 6241 7516 8769 11274 11692 12482 15032 17538 18723 22548 23384 24964 35076 37446 45096 49928 69523 70152 74892 139046 148441 149784 208569 230917 278092 296882 417138 445323 461834 556184 593764 692751 834276 890646 923668 1187528 1385502 1668552 1781292 1847336 2771004 3562584 5492317 5542008 10984634 11726839 16476951 21969268 23453678 32953902 35180517 43938536 46907356 65907804 70361034 93814712 131815608 140722068 281444136 433893043 867786086 1301679129 1735572172 2603358258 3471144344 5206716516 10413433032