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13819938984 = 233363981199
BaseRepresentation
bin11001101111011101…
…11000100010101000
31022200010122122022000
430313232320202220
5211300401021414
610203201131000
7666320354205
oct146756704250
938603578260
1013819938984
115951aa4785
122818329a60
1313c32162b7
14951604cac
1555d416b09
hex337bb88a8

13819938984 has 32 divisors (see below), whose sum is σ = 38388720000. Its totient is φ = 4606646256.

The previous prime is 13819938983. The next prime is 13819938989. The reversal of 13819938984 is 48983991831.

13819938984 is a `hidden beast` number, since 13 + 81 + 99 + 389 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13819938983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31990384 + ... + 31990815.

It is an arithmetic number, because the mean of its divisors is an integer number (1199647500).

Almost surely, 213819938984 is an apocalyptic number.

It is an amenable number.

13819938984 is an abundant number, since it is smaller than the sum of its proper divisors (24568781016).

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

13819938984 is a wasteful number, since it uses less digits than its factorization.

13819938984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63981214 (or 63981204 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 13819938984 in words is "thirteen billion, eight hundred nineteen million, nine hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 63981199 127962398 191943597 255924796 383887194 511849592 575830791 767774388 1151661582 1535548776 1727492373 2303323164 3454984746 4606646328 6909969492 13819938984