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13449745680 = 2435737216373
BaseRepresentation
bin11001000011010101…
…01101010100010000
31021201100001212112220
430201222231110100
5210021113330210
610102334421040
7654203644350
oct144152552420
937640055486
1013449745680
115782037aa8
122734361780
13136460c9c7
1491839cb60
1553ab8ec70
hex321aad510

13449745680 has 160 divisors (see below), whose sum is σ = 48938605824. Its totient is φ = 2991126528.

The previous prime is 13449745667. The next prime is 13449745693. The reversal of 13449745680 is 8654794431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13449745667) and next prime (13449745693).

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, 46027 + ... + 170346.

Almost surely, 213449745680 is an apocalyptic number.

13449745680 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 13449745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24469302912).

13449745680 is an abundant number, since it is smaller than the sum of its proper divisors (35488860144).

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

13449745680 is a wasteful number, since it uses less digits than its factorization.

13449745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216433 (or 216427 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 13449745680 in words is "thirteen billion, four hundred forty-nine million, seven hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3885 4144 4440 5180 6216 7770 8880 10360 12432 15540 20720 31080 62160 216373 432746 649119 865492 1081865 1298238 1514611 1730984 2163730 2596476 3029222 3245595 3461968 4327460 4543833 5192952 6058444 6491190 7573055 8005801 8654920 9087666 10385904 12116888 12982380 15146110 16011602 17309840 18175332 22719165 24017403 24233776 25964760 30292220 32023204 36350664 40029005 45438330 48034806 51929520 56040607 60584440 64046408 72701328 80058010 90876660 96069612 112081214 120087015 121168880 128092816 160116020 168121821 181753320 192139224 224162428 240174030 280203035 320232040 336243642 363506640 384278448 448324856 480348060 560406070 640464080 672487284 840609105 896649712 960696120 1120812140 1344974568 1681218210 1921392240 2241624280 2689949136 3362436420 4483248560 6724872840 13449745680