Search a number
-
+
13996800004 = 22112923710223
BaseRepresentation
bin11010000100100011…
…00011100000000100
31100010110110010000011
431002101203200010
5212131140100004
610232520000004
71003565560045
oct150221434004
940113403004
1013996800004
115a32913010
122867600004
131420a5b4a5
1496acc28cc
1556dc00004
hex342463804

13996800004 has 72 divisors (see below), whose sum is σ = 28425091968. Its totient is φ = 5976190080.

The previous prime is 13996800001. The next prime is 13996800007. The reversal of 13996800004 is 40000869931.

It is an interprime number because it is at equal distance from previous prime (13996800001) and next prime (13996800007).

It is a self number, because there is not a number n which added to its sum of digits gives 13996800004.

It is not an unprimeable number, because it can be changed into a prime (13996800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364037 + ... + 1374259.

It is an arithmetic number, because the mean of its divisors is an integer number (394792944).

Almost surely, 213996800004 is an apocalyptic number.

It is an amenable number.

13996800004 is an abundant number, since it is smaller than the sum of its proper divisors (14428291964).

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

13996800004 is a wasteful number, since it uses less digits than its factorization.

13996800004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 13996800004 in words is "thirteen billion, nine hundred ninety-six million, eight hundred thousand, four".

Divisors: 1 2 4 11 22 29 37 44 58 74 116 148 319 407 638 814 841 1073 1276 1628 1682 2146 3364 4292 9251 10223 11803 18502 20446 23606 31117 37004 40892 47212 62234 112453 124468 224906 296467 342287 378251 449812 592934 684574 756502 1185868 1369148 1513004 3261137 4160761 6522274 8321522 8597543 10969279 13044548 16643044 17195086 21938558 34390172 43877116 94572973 120662069 189145946 241324138 318109091 378291892 482648276 636218182 1272436364 3499200001 6998400002 13996800004