Search a number
-
+
13693138480 = 245761400853
BaseRepresentation
bin11001100000010110…
…01011011000110000
31022100022001111201001
430300023023120300
5211020420412410
610142431251344
7663220520350
oct146013133060
938308044631
1013693138480
11589746867a
1227a1979b54
1313a2b7ac08
1493c838b60
1555221b33a
hex3302cb630

13693138480 has 80 divisors (see below), whose sum is σ = 36981186624. Its totient is φ = 4617815040.

The previous prime is 13693138463. The next prime is 13693138489. The reversal of 13693138480 is 8483139631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13693138480.

It is not an unprimeable number, because it can be changed into a prime (13693138489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166267 + ... + 234586.

Almost surely, 213693138480 is an apocalyptic number.

13693138480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13693138480 is an abundant number, since it is smaller than the sum of its proper divisors (23288048144).

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

13693138480 is a wasteful number, since it uses less digits than its factorization.

13693138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400934 (or 400928 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 13693138480 in words is "thirteen billion, six hundred ninety-three million, one hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 8540 17080 34160 400853 801706 1603412 2004265 2805971 3206824 4008530 5611942 6413648 8017060 11223884 14029855 16034120 22447768 24452033 28059710 32068240 44895536 48904066 56119420 97808132 112238840 122260165 171164231 195616264 224477680 244520330 342328462 391232528 489040660 684656924 855821155 978081320 1369313848 1711642310 1956162640 2738627696 3423284620 6846569240 13693138480