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12423562666524 = 22332291387336209
BaseRepresentation
bin1011010011001001011000…
…0010100010001000011100
31121222200101102221221202000
42310302112002202020130
53112021424020312044
642231150024002300
72421400315201212
oct264622602421034
947880342857660
1012423562666524
113a5a892275319
12148792a000390
136c16c9843a49
1430d437298cb2
1516827321ed69
hexb4c960a221c

12423562666524 has 96 divisors (see below), whose sum is σ = 32353113576000. Its totient is φ = 4122692702208.

The previous prime is 12423562666519. The next prime is 12423562666549. The reversal of 12423562666524 is 42566626532421.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343088932 + ... + 343125140.

It is an arithmetic number, because the mean of its divisors is an integer number (337011599750).

Almost surely, 212423562666524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423562666524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176556788000).

12423562666524 is an abundant number, since it is smaller than the sum of its proper divisors (19929550909476).

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

12423562666524 is a wasteful number, since it uses less digits than its factorization.

12423562666524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50324 (or 50316 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 12423562666524 in words is "twelve trillion, four hundred twenty-three billion, five hundred sixty-two million, six hundred sixty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1374 2061 2748 4122 6183 8244 12366 13873 24732 27746 36209 41619 55492 72418 83238 108627 124857 144836 166476 217254 249714 325881 374571 434508 499428 651762 749142 977643 1303524 1498284 1955286 3176917 3910572 6353834 8291861 9530751 12707668 16583722 19061502 24875583 28592253 33167444 38123004 49751166 57184506 74626749 85776759 99502332 114369012 149253498 171553518 223880247 298506996 343107036 447760494 502327457 895520988 1004654914 1506982371 2009309828 3013964742 4520947113 6027929484 9041894226 13562841339 18083788452 27125682678 54251365356 115032987653 230065975306 345098962959 460131950612 690197925918 1035296888877 1380395851836 2070593777754 3105890666631 4141187555508 6211781333262 12423562666524