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13641443620 = 22571711350723
BaseRepresentation
bin11001011010001011…
…11110100100100100
31022012200210010200121
430231011332210210
5210414202143440
610133343251324
7662022233440
oct145505764444
938180703617
1013641443620
11587026a552
1227885a9b44
13139524b23c
14935a1d820
1554c90934a
hex32d17e924

13641443620 has 96 divisors (see below), whose sum is σ = 34972777728. Its totient is φ = 4362903552.

The previous prime is 13641443611. The next prime is 13641443677. The reversal of 13641443620 is 2634414631.

13641443620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243579 + ... + 294301.

It is an arithmetic number, because the mean of its divisors is an integer number (364299768).

Almost surely, 213641443620 is an apocalyptic number.

13641443620 is a gapful number since it is divisible by the number (10) 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 13641443620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486388864).

13641443620 is an abundant number, since it is smaller than the sum of its proper divisors (21331334108).

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

13641443620 is a wasteful number, since it uses less digits than its factorization.

13641443620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50869 (or 50867 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 13641443620 in words is "thirteen billion, six hundred forty-one million, four hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 113 119 140 170 226 238 340 452 476 565 595 791 1130 1190 1582 1921 2260 2380 3164 3842 3955 7684 7910 9605 13447 15820 19210 26894 38420 50723 53788 67235 101446 134470 202892 253615 268940 355061 507230 710122 862291 1014460 1420244 1724582 1775305 3449164 3550610 4311455 5731699 6036037 7101220 8622910 11463398 12072074 17245820 22926796 24144148 28658495 30180185 40121893 57316990 60360370 80243786 97438883 114633980 120720740 160487572 194877766 200609465 389755532 401218930 487194415 682072181 802437860 974388830 1364144362 1948777660 2728288724 3410360905 6820721810 13641443620