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20332231002198 = 234281619721561
BaseRepresentation
bin1001001111101111101110…
…11010000000100001010110
32122222202001010201002110000
410213313313122000201112
510131110402114032243
6111124255321312130
74165645431653553
oct447676732004126
978882033632400
1020332231002198
11652993a382335
122344633035646
13b4642377227b
14504129c35a2a
15253d4be615d3
hex127df7680856

20332231002198 has 80 divisors (see below), whose sum is σ = 45795317729040. Its totient is φ = 6742372089600.

The previous prime is 20332231002131. The next prime is 20332231002253. The reversal of 20332231002198 is 89120013223302.

It is a happy number.

20332231002198 is a `hidden beast` number, since 2 + 0 + 3 + 322 + 310 + 0 + 2 + 19 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 27817338 + ... + 28538898.

It is an arithmetic number, because the mean of its divisors is an integer number (572441471613).

Almost surely, 220332231002198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332231002198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22897658864520).

20332231002198 is an abundant number, since it is smaller than the sum of its proper divisors (25463086726842).

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

20332231002198 is a wasteful number, since it uses less digits than its factorization.

20332231002198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722475 (or 722466 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20332231002198 in words is "twenty trillion, three hundred thirty-two billion, two hundred thirty-one million, two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 562 619 843 1238 1686 1857 2529 3714 5058 5571 7587 11142 15174 16713 22761 33426 45522 50139 100278 173939 347878 521817 721561 1043634 1443122 1565451 2164683 3130902 4329366 4696353 6494049 9392706 12988098 14089059 19482147 28178118 38964294 58446441 116892882 202758641 405517282 446646259 608275923 893292518 1216551846 1339938777 1824827769 2679877554 3649655538 4019816331 5474483307 8039632662 10948966614 12059448993 16423449921 24118897986 32846899842 36178346979 72356693958 125507598779 251015197558 376522796337 753045592674 1129568389011 2259136778022 3388705167033 6777410334066 10166115501099 20332231002198