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13822083451 = 1137672232273
BaseRepresentation
bin11001101111101110…
…00100000101111011
31022200021200120221201
430313313010011323
5211301423132301
610203315115031
7666344525251
oct146767040573
938607616851
1013822083451
115953229970
122818ba2a77
1313c37b7407
14951a025d1
1555d6dc201
hex337dc417b

13822083451 has 32 divisors (see below), whose sum is σ = 15794731008. Its totient is φ = 11984163840.

The previous prime is 13822083449. The next prime is 13822083497. The reversal of 13822083451 is 15438022831.

It is not a de Polignac number, because 13822083451 - 21 = 13822083449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13822083451.

It is not an unprimeable number, because it can be changed into a prime (13822083421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6079851 + ... + 6082123.

It is an arithmetic number, because the mean of its divisors is an integer number (493585344).

Almost surely, 213822083451 is an apocalyptic number.

13822083451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13822083451 is a deficient number, since it is larger than the sum of its proper divisors (1972647557).

13822083451 is a wasteful number, since it uses less digits than its factorization.

13822083451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 13822083451 in words is "thirteen billion, eight hundred twenty-two million, eighty-three thousand, four hundred fifty-one".

Divisors: 1 11 37 67 223 407 737 2273 2453 2479 8251 14941 25003 27269 84101 90761 152291 164351 506879 552817 925111 1675201 5575669 5634767 6080987 18754523 33960893 61982437 206299753 373569823 1256553041 13822083451