Search a number
-
+
12253147117136 = 2423292414764143
BaseRepresentation
bin1011001001001110100001…
…1110110011011001010000
31121101101111220001002000122
42302103220132303121100
53101223421130222021
642021003523205412
72403155260006622
oct262235036633120
947341456032018
1012253147117136
1139a4592121802
12145a8aa216868
136ab60b792963
143050ac370c12
15163aec18dbab
hexb24e87b3650

12253147117136 has 80 divisors (see below), whose sum is σ = 25733237967360. Its totient is φ = 5634646026240.

The previous prime is 12253147117129. The next prime is 12253147117147. The reversal of 12253147117136 is 63171174135221.

It is a super-2 number, since 2×122531471171362 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189881 + ... + 4954023.

It is an arithmetic number, because the mean of its divisors is an integer number (321665474592).

Almost surely, 212253147117136 is an apocalyptic number.

12253147117136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12253147117136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866618983680).

12253147117136 is an abundant number, since it is smaller than the sum of its proper divisors (13480090850224).

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

12253147117136 is a wasteful number, since it uses less digits than its factorization.

12253147117136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764444 (or 4764438 counting only the distinct ones).

The product of its digits is 211680, while the sum is 44.

The spelling of 12253147117136 in words is "twelve trillion, two hundred fifty-three billion, one hundred forty-seven million, one hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 241 368 464 482 667 964 1334 1928 2668 3856 5336 5543 6989 10672 11086 13978 22172 27956 44344 55912 88688 111824 160747 321494 642988 1285976 2571952 4764143 9528286 19056572 38113144 76226288 109575289 138160147 219150578 276320294 438301156 552640588 876602312 1105281176 1148158463 1753204624 2210562352 2296316926 3177683381 4592633852 6355366762 9185267704 12710733524 18370535408 25421467048 26407644649 33296595427 50842934096 52815289298 66593190854 105630578596 133186381708 211261157192 266372763416 422522314384 532745526832 765821694821 1531643389642 3063286779284 6126573558568 12253147117136