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13820272235 = 571158761153
BaseRepresentation
bin11001101111100000…
…01001111001101011
31022200011021120102122
430313300021321223
5211300442202420
610203212221455
7666323242610
oct146760117153
938604246378
1013820272235
1159522020a0
12281846a88b
1313c3301ba3
14951690507
1555d480725
hex337c09e6b

13820272235 has 32 divisors (see below), whose sum is σ = 20712125952. Its totient is φ = 8600417280.

The previous prime is 13820272229. The next prime is 13820272267. The reversal of 13820272235 is 53227202831.

It is not a de Polignac number, because 13820272235 - 218 = 13820010091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 13820272195 and 13820272204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195419 + ... + 256571.

It is an arithmetic number, because the mean of its divisors is an integer number (647253936).

Almost surely, 213820272235 is an apocalyptic number.

13820272235 is a deficient number, since it is larger than the sum of its proper divisors (6891853717).

13820272235 is a wasteful number, since it uses less digits than its factorization.

13820272235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61763.

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 13820272235 in words is "thirteen billion, eight hundred twenty million, two hundred seventy-two thousand, two hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 385 587 2935 4109 6457 20545 32285 45199 61153 225995 305765 428071 672683 2140355 3363415 4708781 23543905 35896811 179484055 251277677 394864921 1256388385 1974324605 2764054447 13820272235