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218997944020 = 2251923127197299
BaseRepresentation
bin1100101111110101001…
…0110110111011010100
3202221021100021020100201
43023331102312323110
512042001433202040
6244334541550244
721551654544622
oct3137522667324
9687240236321
10218997944020
11849706a2789
1236539b75384
1317861219b7b
14a857282512
155a6b254a9a
hex32fd4b6ed4

218997944020 has 96 divisors (see below), whose sum is σ = 509128704000. Its totient is φ = 78755048064.

The previous prime is 218997943907. The next prime is 218997944023. The reversal of 218997944020 is 20449799812.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218997944023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011331 + ... + 1208629.

It is an arithmetic number, because the mean of its divisors is an integer number (5303424000).

Almost surely, 2218997944020 is an apocalyptic number.

218997944020 is a gapful number since it is divisible by the number (20) 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 218997944020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254564352000).

218997944020 is an abundant number, since it is smaller than the sum of its proper divisors (290130759980).

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

218997944020 is a wasteful number, since it uses less digits than its factorization.

218997944020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197477 (or 197475 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 218997944020 in words is "two hundred eighteen billion, nine hundred ninety-seven million, nine hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 127 190 230 254 380 437 460 508 635 874 1270 1748 2185 2413 2540 2921 4370 4826 5842 8740 9652 11684 12065 14605 24130 29210 48260 55499 58420 110998 197299 221996 277495 394598 554990 789196 986495 1109980 1972990 3748681 3945980 4537877 7497362 9075754 14994724 18151508 18743405 22689385 25056973 37486810 45378770 50113946 74973620 86219663 90757540 100227892 125284865 172439326 250569730 344878652 431098315 476082487 501139460 576310379 862196630 952164974 1152620758 1724393260 1904329948 2305241516 2380412435 2881551895 4760824870 5763103790 9521649740 10949897201 11526207580 21899794402 43799588804 54749486005 109498972010 218997944020