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13882806327 = 3132193337421
BaseRepresentation
bin11001110110111101…
…01101000000110111
31022211111221122002010
430323132231000313
5211412444300302
610213324415303
71001012623005
oct147336550067
938744848063
1013882806327
115984533965
1228353a7533
131403258400
14959acba75
15563bd416c
hex33b7ad037

13882806327 has 48 divisors (see below), whose sum is σ = 20255453088. Its totient is φ = 8453652480.

The previous prime is 13882806277. The next prime is 13882806337. The reversal of 13882806327 is 72360828831.

It is not a de Polignac number, because 13882806327 - 26 = 13882806263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882806337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32975577 + ... + 32975997.

It is an arithmetic number, because the mean of its divisors is an integer number (421988606).

Almost surely, 213882806327 is an apocalyptic number.

13882806327 is a deficient number, since it is larger than the sum of its proper divisors (6372646761).

13882806327 is a wasteful number, since it uses less digits than its factorization.

13882806327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 13882806327 in words is "thirteen billion, eight hundred eighty-two million, eight hundred six thousand, three hundred twenty-seven".

Divisors: 1 3 13 39 169 193 337 421 507 579 1011 1263 2509 4381 5473 7527 13143 16419 32617 56953 65041 71149 81253 97851 141877 170859 195123 213447 243759 425631 845533 1056289 1844401 2536599 3168867 5533203 10991929 13731757 23977213 27382261 32975787 41195271 71931639 82146783 355969393 1067908179 4627602109 13882806327