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210023537136 = 24374189171299
BaseRepresentation
bin1100001110011001100…
…0001101100111110000
3202002002220100010111120
43003212120031213300
511420112011142021
6240252233142240
721113402416230
oct3034630154760
9662086303446
10210023537136
11810858a1a96
123485455a980
1316a60b5aa3a
14a24540dcc0
1556e34312c6
hex30e660d9f0

210023537136 has 160 divisors (see below), whose sum is σ = 642333888000. Its totient is φ = 57885020160.

The previous prime is 210023537093. The next prime is 210023537137. The reversal of 210023537136 is 631735320012.

It is a super-2 number, since 2×2100235371362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210023537097 and 210023537106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210023537137) 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, 1140415 + ... + 1311713.

It is an arithmetic number, because the mean of its divisors is an integer number (4014586800).

Almost surely, 2210023537136 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 210023537136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321166944000).

210023537136 is an abundant number, since it is smaller than the sum of its proper divisors (432310350864).

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

210023537136 is a wasteful number, since it uses less digits than its factorization.

210023537136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171447 (or 171441 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

Adding to 210023537136 its reverse (631735320012), we get a palindrome (841758857148).

The spelling of 210023537136 in words is "two hundred ten billion, twenty-three million, five hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 89 112 123 164 168 178 246 267 287 328 336 356 492 534 574 623 656 712 861 984 1068 1148 1246 1424 1722 1869 1968 2136 2296 2492 3444 3649 3738 4272 4592 4984 6888 7298 7476 9968 10947 13776 14596 14952 21894 25543 29192 29904 43788 51086 58384 76629 87576 102172 153258 171299 175152 204344 306516 342598 408688 513897 613032 685196 1027794 1199093 1226064 1370392 2055588 2398186 2740784 3597279 4111176 4796372 7023259 7194558 8222352 9592744 14046518 14389116 15245611 19185488 21069777 28093036 28778232 30491222 42139554 45736833 49162813 56186072 57556464 60982444 84279108 91473666 98325626 106719277 112372144 121964888 147488439 168558216 182947332 196651252 213438554 243929776 294976878 320157831 337116432 365894664 393302504 426877108 589953756 625070051 640315662 731789328 786605008 853754216 1179907512 1250140102 1280631324 1707508432 1875210153 2359815024 2500280204 2561262648 3750420306 4375490357 5000560408 5122525296 7500840612 8750980714 10001120816 13126471071 15001681224 17501961428 26252942142 30003362448 35003922856 52505884284 70007845712 105011768568 210023537136