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213371083638 = 2321713149910667
BaseRepresentation
bin1100011010110111101…
…0000101101101110110
3202101202012100010000100
43012231322011231312
511443440444134023
6242004334454530
721262351200066
oct3065572055566
9671665303010
10213371083638
1182543461249
1235429664446
131717554979b
14a481c453a6
15583c276c43
hex31ade85b76

213371083638 has 96 divisors (see below), whose sum is σ = 494269776000. Its totient is φ = 66289616640.

The previous prime is 213371083543. The next prime is 213371083649. The reversal of 213371083638 is 836380173312.

213371083638 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 1 + 0 + 8 + 3 + 638 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213371083593 and 213371083602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19997581 + ... + 20008247.

It is an arithmetic number, because the mean of its divisors is an integer number (5148643500).

Almost surely, 2213371083638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213371083638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247134888000).

213371083638 is an abundant number, since it is smaller than the sum of its proper divisors (280898692362).

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

213371083638 is a wasteful number, since it uses less digits than its factorization.

213371083638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 213371083638 in words is "two hundred thirteen billion, three hundred seventy-one million, eighty-three thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 131 153 262 306 393 499 786 998 1179 1497 2227 2358 2994 4454 4491 6681 8483 8982 10667 13362 16966 20043 21334 25449 32001 40086 50898 64002 65369 76347 96003 130738 152694 181339 192006 196107 362678 392214 544017 588321 1088034 1111273 1176642 1397377 1632051 2222546 2794754 3264102 3333819 4192131 5322833 6667638 8384262 10001457 10645666 12576393 15968499 20002914 23755409 25152786 31936998 47510818 47905497 71266227 90488161 95810994 142532454 180976322 213798681 271464483 427597362 542928966 697291123 814393449 1394582246 1628786898 2091873369 4183746738 6275620107 11853949091 12551240214 23707898182 35561847273 71123694546 106685541819 213371083638