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13242257773600 = 2552293118412483
BaseRepresentation
bin1100000010110011010000…
…0100100001010000100000
31201212221120201020112101211
43000230310010201100200
53213430120442223400
644055224221235504
72534502330610462
oct300546404412040
951787521215354
1013242257773600
114246012319729
12159a531402b94
1375097ca38c4b
1433ad004b0132
1517e6dc922dba
hexc0b34121420

13242257773600 has 144 divisors (see below), whose sum is σ = 34521198001920. Its totient is φ = 4949275161600.

The previous prime is 13242257773573. The next prime is 13242257773663. The reversal of 13242257773600 is 637775224231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8487042 + ... + 9925441.

It is an arithmetic number, because the mean of its divisors is an integer number (239730541680).

Almost surely, 213242257773600 is an apocalyptic number.

13242257773600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13242257773600 is an abundant number, since it is smaller than the sum of its proper divisors (21278940228320).

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

13242257773600 is a wasteful number, since it uses less digits than its factorization.

13242257773600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412563 (or 18412550 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 49.

The spelling of 13242257773600 in words is "thirteen trillion, two hundred forty-two billion, two hundred fifty-seven million, seven hundred seventy-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 31 32 40 50 58 62 80 100 116 124 145 155 160 200 232 248 290 310 400 464 496 580 620 725 775 800 899 928 992 1160 1240 1450 1550 1798 2320 2480 2900 3100 3596 4495 4640 4960 5800 6200 7192 8990 11600 12400 14384 17980 22475 23200 24800 28768 35960 44950 71920 89900 143840 179800 359600 719200 18412483 36824966 73649932 92062415 147299864 184124830 294599728 368249660 460312075 533962007 570786973 589199456 736499320 920624150 1067924014 1141573946 1472998640 1841248300 2135848028 2283147892 2669810035 2853934865 2945997280 3682496600 4271696056 4566295784 5339620070 5707869730 7364993200 8543392112 9132591568 10679240140 11415739460 13349050175 14269674325 14729986400 16552822217 17086784224 18265183136 21358480280 22831478920 26698100350 28539348650 33105644434 42716960560 45662957840 53396200700 57078697300 66211288868 82764111085 85433921120 91325915680 106792401400 114157394600 132422577736 165528222170 213584802800 228314789200 264845155472 331056444340 413820555425 427169605600 456629578400 529690310944 662112888680 827641110850 1324225777360 1655282221700 2648451554720 3310564443400 6621128886800 13242257773600