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27937344373972 = 22112695101462727
BaseRepresentation
bin1100101101000101010110…
…11111001100010011010100
310122220210011120020022201021
412112202223133030103110
512130211140124431342
6135230123330410524
75612256303013405
oct626425337142324
9118823146208637
1027937344373972
1189a1185635060
123172540130a44
1312786321cc967
146c82634859ac
15336aab37b567
hex1968ab7cc4d4

27937344373972 has 48 divisors (see below), whose sum is σ = 53543811646080. Its totient is φ = 12649077936000.

The previous prime is 27937344373969. The next prime is 27937344373987.

27937344373972 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60144073 + ... + 60606799.

It is an arithmetic number, because the mean of its divisors is an integer number (1115496075960).

Almost surely, 227937344373972 is an apocalyptic number.

27937344373972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27937344373972 is a deficient number, since it is larger than the sum of its proper divisors (25606467272108).

27937344373972 is a wasteful number, since it uses less digits than its factorization.

27937344373972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468112 (or 468110 counting only the distinct ones).

The product of its digits is 1008189504, while the sum is 70.

The spelling of 27937344373972 in words is "twenty-seven trillion, nine hundred thirty-seven billion, three hundred forty-four million, three hundred seventy-three thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 22 44 269 538 1076 2959 5101 5918 10202 11836 20404 56111 112222 224444 462727 925454 1372169 1850908 2744338 5089997 5488676 10179994 15093859 20359988 30187718 60375436 124473563 248947126 497894252 1369209193 2360370427 2738418386 4720740854 5476836772 9441481708 25964074697 51928149394 103856298788 634939644863 1269879289726 2539758579452 6984336093493 13968672186986 27937344373972