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31631622066 = 233111922912239
BaseRepresentation
bin11101011101011001…
…000011111110110010
310000122110110220002000
4131131121003332302
51004240143401231
622310435234430
72166601231332
oct353531037662
9100573426060
1031631622066
1112462253920
126169448a16
132ca1420245
1417610110c2
15c51ec26e6
hex75d643fb2

31631622066 has 128 divisors (see below), whose sum is σ = 81077760000. Its totient is φ = 9040455360.

The previous prime is 31631622049. The next prime is 31631622073. The reversal of 31631622066 is 66022613613.

31631622066 is a `hidden beast` number, since 316 + 316 + 2 + 20 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31631622066.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2578375 + ... + 2590613.

It is an arithmetic number, because the mean of its divisors is an integer number (633420000).

Almost surely, 231631622066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31631622066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40538880000).

31631622066 is an abundant number, since it is smaller than the sum of its proper divisors (49446137934).

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

31631622066 is a wasteful number, since it uses less digits than its factorization.

31631622066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 31631622066 in words is "thirty-one billion, six hundred thirty-one million, six hundred twenty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 229 297 342 418 458 513 594 627 687 1026 1254 1374 1881 2061 2519 3762 4122 4351 5038 5643 6183 7557 8702 11286 12239 12366 13053 15114 22671 24478 26106 36717 39159 45342 47861 68013 73434 78318 95722 110151 117477 134629 136026 143583 220302 232541 234954 269258 287166 330453 403887 430749 465082 660906 697623 807774 861498 1211661 1292247 1395246 2092869 2423322 2557951 2584494 2802731 3634983 4185738 5115902 5605462 6278607 7269966 7673853 8408193 12557214 15347706 16816386 23021559 25224579 30830041 46043118 50449158 53251889 61660082 69064677 75673737 92490123 106503778 138129354 151347474 159755667 184980246 277470369 319511334 479267001 554940738 585770779 832411107 958534002 1171541558 1437801003 1664822214 1757312337 2875602006 3514624674 5271937011 10543874022 15815811033 31631622066