Search a number
-
+
13316814480 = 2435435921871
BaseRepresentation
bin11000110011011111…
…00111011010010000
31021101001221021020010
430121233213122100
5204233101030410
610041225314520
7651001025004
oct143157473220
937331837203
1013316814480
115713aa3902
1226b7935a40
131342c08ca8
14904878704
1552e182c20
hex319be7690

13316814480 has 160 divisors (see below), whose sum is σ = 42960107520. Its totient is φ = 3409620480.

The previous prime is 13316814463. The next prime is 13316814499. The reversal of 13316814480 is 8441861331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597945 + ... + 619815.

It is an arithmetic number, because the mean of its divisors is an integer number (268500672).

Almost surely, 213316814480 is an apocalyptic number.

13316814480 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 13316814480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21480053760).

13316814480 is an abundant number, since it is smaller than the sum of its proper divisors (29643293040).

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

13316814480 is a wasteful number, since it uses less digits than its factorization.

13316814480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21989 (or 21983 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 13316814480 in words is "thirteen billion, three hundred sixteen million, eight hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 59 60 80 86 118 120 129 172 177 215 236 240 258 295 344 354 430 472 516 590 645 688 708 860 885 944 1032 1180 1290 1416 1720 1770 2064 2360 2537 2580 2832 3440 3540 4720 5074 5160 7080 7611 10148 10320 12685 14160 15222 20296 21871 25370 30444 38055 40592 43742 50740 60888 65613 76110 87484 101480 109355 121776 131226 152220 174968 202960 218710 262452 304440 328065 349936 437420 524904 608880 656130 874840 940453 1049808 1290389 1312260 1749680 1880906 2580778 2624520 2821359 3761812 3871167 4702265 5161556 5249040 5642718 6451945 7523624 7742334 9404530 10323112 11285436 12903890 14106795 15047248 15484668 18809060 19355835 20646224 22570872 25807780 28213590 30969336 37618120 38711670 45141744 51615560 55486727 56427180 61938672 75236240 77423340 103231120 110973454 112854360 154846680 166460181 221946908 225708720 277433635 309693360 332920362 443893816 554867270 665840724 832300905 887787632 1109734540 1331681448 1664601810 2219469080 2663362896 3329203620 4438938160 6658407240 13316814480