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27912400421972 = 22113142148607213
BaseRepresentation
bin1100101100010110111001…
…01101100100010001010100
310122211101210011210021022012
412112023130231210101110
512124304044002000342
6135210440231123352
75610414205636313
oct626133455442124
9118741704707265
1027912400421972
1189916453aa7a0
12316973a513558
13127618848b651
146c6d7872c27a
153360eb57ab82
hex1962dcb64454

27912400421972 has 48 divisors (see below), whose sum is σ = 55136912699904. Its totient is φ = 12249017424000.

The previous prime is 27912400421963. The next prime is 27912400421977.

It is a happy number.

27912400421972 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27912400421972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27912400421977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23729363 + ... + 24877850.

It is an arithmetic number, because the mean of its divisors is an integer number (1148685681248).

Almost surely, 227912400421972 is an apocalyptic number.

27912400421972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27912400421972 is a deficient number, since it is larger than the sum of its proper divisors (27224512277932).

27912400421972 is a wasteful number, since it uses less digits than its factorization.

27912400421972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48607680 (or 48607678 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 27912400421972 in words is "twenty-seven trillion, nine hundred twelve billion, four hundred million, four hundred twenty-one thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 22 31 44 62 124 341 421 682 842 1364 1684 4631 9262 13051 18524 26102 52204 143561 287122 574244 48607213 97214426 194428852 534679343 1069358686 1506823603 2138717372 3013647206 6027294412 16575059633 20463636673 33150119266 40927273346 66300238532 81854546692 225100003403 450200006806 634372736863 900400013612 1268745473726 2537490947452 6978100105493 13956200210986 27912400421972