Search a number
-
+
13410463520 = 255379532377
BaseRepresentation
bin11000111110101001…
…10110111100100000
31021121121011010120002
430133110312330200
5204431034313040
610054412435132
7653216026166
oct143724667440
937547133502
1013410463520
115761947803
122723178aa8
131359437b1c
14913095236
155374d0a15
hex31f536f20

13410463520 has 96 divisors (see below), whose sum is σ = 32586342768. Its totient is φ = 5211537408.

The previous prime is 13410463519. The next prime is 13410463609. The reversal of 13410463520 is 2536401431.

It can be written as a sum of positive squares in 8 ways, for example, as 7534934416 + 5875529104 = 86804^2 + 76652^2 .

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, 5640572 + ... + 5642948.

Almost surely, 213410463520 is an apocalyptic number.

13410463520 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 13410463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16293171384).

13410463520 is an abundant number, since it is smaller than the sum of its proper divisors (19175879248).

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

13410463520 is a wasteful number, since it uses less digits than its factorization.

13410463520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 13410463520 its reverse (2536401431), we get a palindrome (15946864951).

The spelling of 13410463520 in words is "thirteen billion, four hundred ten million, four hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 953 1184 1480 1906 2377 2960 3812 4754 4765 5920 7624 9508 9530 11885 15248 19016 19060 23770 30496 35261 38032 38120 47540 70522 76064 76240 87949 95080 141044 152480 175898 176305 190160 282088 351796 352610 380320 439745 564176 703592 705220 879490 1128352 1407184 1410440 1758980 2265281 2814368 2820880 3517960 4530562 5641760 7035920 9061124 11326405 14071840 18122248 22652810 36244496 45305620 72488992 83815397 90611240 167630794 181222480 335261588 362444960 419076985 670523176 838153970 1341046352 1676307940 2682092704 3352615880 6705231760 13410463520