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27340222204372 = 227111925457183523
BaseRepresentation
bin1100011011101101001000…
…01110111000100111010100
310120210200220002112012101011
412031312210032320213110
512040420233341014442
6134051531422142004
75521160123222440
oct615664416704724
9116720802465334
1027340222204372
118790a177490a0
123096875121904
13123423085039c
146a73b94c5820
153262adebe117
hex18dda43b89d4

27340222204372 has 96 divisors (see below), whose sum is σ = 62793749652480. Its totient is φ = 10090949829120.

The previous prime is 27340222204357. The next prime is 27340222204397.

27340222204372 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 31 ways as a sum of consecutive naturals, for example, 148882603 + ... + 149066125.

It is an arithmetic number, because the mean of its divisors is an integer number (654101558880).

Almost surely, 227340222204372 is an apocalyptic number.

27340222204372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27340222204372 is an abundant number, since it is smaller than the sum of its proper divisors (35453527448108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27340222204372 is a wasteful number, since it uses less digits than its factorization.

27340222204372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209021 (or 209019 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 40.

It can be divided in two parts, 2734022 and 2204372, that added together give a palindrome (4938394).

The spelling of 27340222204372 in words is "twenty-seven trillion, three hundred forty billion, two hundred twenty-two million, two hundred four thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 25457 50914 101828 178199 183523 280027 356398 367046 483683 560054 712796 734092 967366 1120108 1284661 1934732 1960189 2018753 2569322 3385781 3486937 3920378 4037506 5138644 5320513 6771562 6973874 7840756 8075012 10641026 13543124 13947748 14131271 21282052 24408559 28262542 37243591 38356307 48817118 56525084 74487182 76712614 97634236 148974364 153425228 268494149 536988298 1073976596 4671945011 9343890022 18687780044 32703615077 51391395121 65407230154 88766955209 102782790242 130814460308 177533910418 205565580484 355067820836 359739765847 621368686463 719479531694 976436507299 1242737372926 1438959063388 1952873014598 2485474745852 3905746029196 6835055551093 13670111102186 27340222204372