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189882736472 = 231113229440269
BaseRepresentation
bin1011000011010111100…
…1001001111101011000
3200011010020212110001102
42300311321021331120
511102334440031342
6223121514010532
716501320425612
oct2606571117530
9604106773042
10189882736472
117358a944390
1230973416a48
1314ba1255500
149294555db2
154e15151832
hex2c35e49f58

189882736472 has 96 divisors (see below), whose sum is σ = 435074814000. Its totient is φ = 76923624960.

The previous prime is 189882736423. The next prime is 189882736507. The reversal of 189882736472 is 274637288981.

It is a super-2 number, since 2×1898827364722 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 189882736399 and 189882736408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211154 + ... + 651422.

Almost surely, 2189882736472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189882736472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217537407000).

189882736472 is an abundant number, since it is smaller than the sum of its proper divisors (245192077528).

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

189882736472 is a wasteful number, since it uses less digits than its factorization.

189882736472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440341 (or 440324 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 65.

The spelling of 189882736472 in words is "one hundred eighty-nine billion, eight hundred eighty-two million, seven hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 169 232 286 319 338 377 572 638 676 754 1144 1276 1352 1508 1859 2552 3016 3718 4147 4901 7436 8294 9802 14872 16588 19604 33176 39208 53911 107822 215644 431288 440269 880538 1761076 3522152 4842959 5723497 9685918 11446994 12767801 19371836 22893988 25535602 38743672 45787976 51071204 62958467 74405461 102142408 125916934 140445811 148810922 165981413 251833868 280891622 297621844 331962826 503667736 561783244 595243688 663925652 818460071 1123566488 1327851304 1636920142 1825795543 2157758369 3273840284 3651591086 4315516738 6547680568 7303182172 8631033476 14606364344 17262066952 23735342059 47470684118 94941368236 189882736472