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20198032520 = 235172910110141
BaseRepresentation
bin10010110011111001…
…011000010010001000
31221010122011100210112
4102303321120102020
5312331144020040
613140121533452
71313345305121
oct226371302210
957118140715
1020198032520
118625298866
123ab8344288
131b9b723543
14d98715048
157d3337365
hex4b3e58488

20198032520 has 128 divisors (see below), whose sum is σ = 50275922400. Its totient is φ = 7268352000.

The previous prime is 20198032493. The next prime is 20198032577. The reversal of 20198032520 is 2523089102.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6466411396 + 13731621124 = 80414^2 + 117182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1986650 + ... + 1996790.

Almost surely, 220198032520 is an apocalyptic number.

20198032520 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 20198032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137961200).

20198032520 is an abundant number, since it is smaller than the sum of its proper divisors (30077889880).

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

20198032520 is a wasteful number, since it uses less digits than its factorization.

20198032520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 20198032520 in words is "twenty billion, one hundred ninety-eight million, thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 101 116 136 145 170 202 232 290 340 404 493 505 580 680 808 986 1010 1160 1717 1972 2020 2465 2929 3434 3944 4040 4930 5858 6868 8585 9860 10141 11716 13736 14645 17170 19720 20282 23432 29290 34340 40564 49793 50705 58580 68680 81128 99586 101410 117160 172397 199172 202820 248965 294089 344794 398344 405640 497930 588178 689588 861985 995860 1024241 1176356 1379176 1470445 1723970 1991720 2048482 2352712 2940890 3447940 4096964 4999513 5121205 5881780 6895880 8193928 9999026 10242410 11763560 17412097 19998052 20484820 24997565 29702989 34824194 39996104 40969640 49995130 59405978 69648388 87060485 99990260 118811956 139296776 148514945 174120970 199980520 237623912 297029890 348241940 504950813 594059780 696483880 1009901626 1188119560 2019803252 2524754065 4039606504 5049508130 10099016260 20198032520