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18331641987696 = 2433269925717041
BaseRepresentation
bin1000010101100001010110…
…00000100100001001110000
32101220111011122112012111000
410022300223000210021300
54400321200322101241
6102553235015522000
73601263114632202
oct412605300441160
971814148465430
1018331641987696
115928450aa7204
122080965989300
13a2c88818a60b
1447538305c772
1521bcac3d5eb6
hex10ac2b024270

18331641987696 has 160 divisors (see below), whose sum is σ = 52823015092800. Its totient is φ = 6086816686080.

The previous prime is 18331641987691. The next prime is 18331641987713. The reversal of 18331641987696 is 69678914613381.

18331641987696 is a `hidden beast` number, since 1 + 8 + 33 + 16 + 419 + 87 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18331641987691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075728936 + ... + 1075745976.

It is an arithmetic number, because the mean of its divisors is an integer number (330143844330).

Almost surely, 218331641987696 is an apocalyptic number.

18331641987696 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 18331641987696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411507546400).

18331641987696 is an abundant number, since it is smaller than the sum of its proper divisors (34491373105104).

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

18331641987696 is a wasteful number, since it uses less digits than its factorization.

18331641987696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26584 (or 26572 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 18331641987696 in words is "eighteen trillion, three hundred thirty-one billion, six hundred forty-one million, nine hundred eighty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 269 432 538 807 1076 1614 2152 2421 3228 4304 4842 6456 7263 9257 9684 12912 14526 17041 18514 19368 27771 29052 34082 37028 38736 51123 55542 58104 68164 74056 83313 102246 111084 116208 136328 148112 153369 166626 204492 222168 249939 272656 306738 333252 408984 444336 460107 499878 613476 666504 817968 920214 999756 1226952 1333008 1840428 1999512 2453904 2490133 3680856 3999024 4584029 4980266 7361712 7470399 9168058 9960532 13752087 14940798 18336116 19921064 22411197 27504174 29881596 36672232 39842128 41256261 44822394 55008348 59763192 67233591 73344464 82512522 89644788 110016696 119526384 123768783 134467182 157748537 165025044 179289576 220033392 247537566 268934364 315497074 330050088 358579152 473245611 495075132 537868728 630994148 660100176 946491222 990150264 1075737456 1261988296 1419736833 1892982444 1980300528 2523976592 2839473666 3785964888 4259210499 5678947332 7571929776 8518420998 11357894664 17036841996 22715789328 34073683992 42434356453 68147367984 84868712906 127303069359 169737425812 254606138718 339474851624 381909208077 509212277436 678949703248 763818416154 1018424554872 1145727624231 1527636832308 2036849109744 2291455248462 3055273664616 4582910496924 6110547329232 9165820993848 18331641987696