Search a number
-
+
15113744731151 = 1123229471905583
BaseRepresentation
bin1101101111101111000101…
…1000101100110000001111
31222111212012212010102000222
43123323301120230300033
53440110422122344101
652051054121541555
73116634453355433
oct333736130546017
958455185112028
1015113744731151
1148a7780982620
12184118a6448bb
138582b24a2421
143a371b1609c3
151b32233ac01b
hexdbef162cc0f

15113744731151 has 48 divisors (see below), whose sum is σ = 18209455810560. Its totient is φ = 12419211456960.

The previous prime is 15113744731147. The next prime is 15113744731157.

15113744731151 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 15113744731151 - 22 = 15113744731147 is a prime.

It is a super-2 number, since 2×151137447311512 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15113744731157) 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, 6978506 + ... + 8884088.

It is an arithmetic number, because the mean of its divisors is an integer number (379363662720).

Almost surely, 215113744731151 is an apocalyptic number.

15113744731151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15113744731151 is a deficient number, since it is larger than the sum of its proper divisors (3095711079409).

15113744731151 is a wasteful number, since it uses less digits than its factorization.

15113744731151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905716 (or 1905693 counting only the distinct ones).

The product of its digits is 176400, while the sum is 44.

The spelling of 15113744731151 in words is "fifteen trillion, one hundred thirteen billion, seven hundred forty-four million, seven hundred thirty-one thousand, one hundred fifty-one".

Divisors: 1 11 23 29 47 253 319 517 529 667 1081 1363 5819 7337 11891 14993 15341 24863 31349 168751 273493 344839 721027 1905583 7931297 20961413 43828409 55261907 89562401 482112499 607880977 985186411 1008053407 1271023861 2059935223 2597309629 11088587477 13981262471 22659287453 28570405919 29233548803 47378510129 59738121467 321569036833 521163611419 657119336137 1373976793741 15113744731151