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13899534891192 = 2332974094866007
BaseRepresentation
bin1100101001000011110011…
…0101101111100010111000
31211012210010111002122011200
43022100330311233202320
53310212221413004232
645321205211054200
72633131301124516
oct312207465574270
954183114078150
1013899534891192
11447983a0a4445
1216859a6141360
1379a949c877c2
14360a537394b6
1519185ae3d77c
hexca43cd6f8b8

13899534891192 has 96 divisors (see below), whose sum is σ = 38125659280800. Its totient is φ = 4574201352192.

The previous prime is 13899534891191. The next prime is 13899534891217. The reversal of 13899534891192 is 29119843599831.

13899534891192 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 9 + 5 + 348 + 91 + 192 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13899534891192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13899534891191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423453 + ... + 5289459.

It is an arithmetic number, because the mean of its divisors is an integer number (397142284175).

Almost surely, 213899534891192 is an apocalyptic number.

13899534891192 is a gapful number since it is divisible by the number (12) 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 13899534891192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19062829640400).

13899534891192 is an abundant number, since it is smaller than the sum of its proper divisors (24226124389608).

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

13899534891192 is a wasteful number, since it uses less digits than its factorization.

13899534891192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866525 (or 4866518 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 72.

Adding to 13899534891192 its sum of digits (72), we get a square (13899534891264 = 37282082).

The spelling of 13899534891192 in words is "thirteen trillion, eight hundred ninety-nine billion, five hundred thirty-four million, eight hundred ninety-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 409 582 776 818 873 1164 1227 1636 1746 2328 2454 3272 3492 3681 4908 6984 7362 9816 14724 29448 39673 79346 119019 158692 238038 317384 357057 476076 714114 952152 1428228 2856456 4866007 9732014 14598021 19464028 29196042 38928056 43794063 58392084 87588126 116784168 175176252 350352504 472002679 944005358 1416008037 1888010716 1990196863 2832016074 3776021432 3980393726 4248024111 5664032148 5970590589 7960787452 8496048222 11328064296 11941181178 15921574904 16992096444 17911771767 23882362356 33984192888 35823543534 47764724712 71647087068 143294174136 193049095711 386098191422 579147287133 772196382844 1158294574266 1544392765688 1737441861399 2316589148532 3474883722798 4633178297064 6949767445596 13899534891192