Search a number
-
+
18912722463376 = 24721553172
BaseRepresentation
bin1000100110011011101100…
…00110101010101010010000
32110222001001010221211201021
410103031312012222222100
54434331223422312001
6104120215035045224
73661253615321200
oct423156606525220
973861033854637
1018912722463376
116031927860095
1221554b45a0814
13a72601246101
14495548716400
1522be6b2b3ba1
hex1133761aaa90

18912722463376 has 45 divisors (see below), whose sum is σ = 42626270100969. Its totient is φ = 8105400297792.

The previous prime is 18912722463359. The next prime is 18912722463499. The reversal of 18912722463376 is 67336422721981.

The square root of 18912722463376 is 4348876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18873290035600 + 39432427776 = 4344340^2 + 198576^2 .

It is a super-2 number, since 2×189127224633762 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121690870 + ... + 121846186.

Almost surely, 218912722463376 is an apocalyptic number.

18912722463376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18912722463376 is the 4348876-th square number.

It is an amenable number.

18912722463376 is an abundant number, since it is smaller than the sum of its proper divisors (23713547637593).

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

18912722463376 is an frugal number, since it uses more digits than its factorization.

18912722463376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310656 (or 155326 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 61.

The spelling of 18912722463376 in words is "eighteen trillion, nine hundred twelve billion, seven hundred twenty-two million, four hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 155317 310634 621268 1087219 1242536 2174438 2485072 4348876 7610533 8697752 15221066 17395504 30442132 60884264 121768528 24123370489 48246740978 96493481956 168863593423 192986963912 337727186846 385973927824 675454373692 1182045153961 1350908747384 2364090307922 2701817494768 4728180615844 9456361231688 18912722463376