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117352126836 = 22337241540863
BaseRepresentation
bin110110101001010111…
…0110101100101110100
3102012220110201201101000
41231102232311211310
53410314121024321
6125524423203300
711323044422400
oct1552256654564
9365813651330
10117352126836
114585024189a
121a8b0ba6530
13b0b2752109
145973802100
1530bc7ba826
hex1b52bb5974

117352126836 has 144 divisors (see below), whose sum is σ = 362551956480. Its totient is φ = 32711333760.

The previous prime is 117352126817. The next prime is 117352126939. The reversal of 117352126836 is 638621253711.

It is a happy number.

117352126836 is a `hidden beast` number, since 1 + 1 + 7 + 352 + 1 + 268 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117352126791 and 117352126800.

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, 53460 + ... + 487403.

It is an arithmetic number, because the mean of its divisors is an integer number (2517721920).

Almost surely, 2117352126836 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 117352126836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181275978240).

117352126836 is an abundant number, since it is smaller than the sum of its proper divisors (245199829644).

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

117352126836 is a wasteful number, since it uses less digits than its factorization.

117352126836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540931 (or 540916 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 117352126836 in words is "one hundred seventeen billion, three hundred fifty-two million, one hundred twenty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 82 84 98 108 123 126 147 164 189 196 246 252 287 294 369 378 441 492 574 588 738 756 861 882 1107 1148 1323 1476 1722 1764 2009 2214 2583 2646 3444 4018 4428 5166 5292 6027 7749 8036 10332 12054 15498 18081 24108 30996 36162 54243 72324 108486 216972 540863 1081726 1622589 2163452 3245178 3786041 4867767 6490356 7572082 9735534 11358123 14603301 15144164 19471068 22175383 22716246 26502287 29206602 34074369 44350766 45432492 53004574 58413204 66526149 68148738 79506861 88701532 102223107 106009148 133052298 136297476 155227681 159013722 199578447 204446214 238520583 266104596 310455362 318027444 399156894 408892428 465683043 477041166 598735341 620910724 715561749 798313788 931366086 954082332 1086593767 1197470682 1397049129 1431123498 1862732172 2173187534 2394941364 2794098258 2862246996 3259781301 4191147387 4346375068 5588196516 6519562602 8382294774 9779343903 13039125204 16764589548 19558687806 29338031709 39117375612 58676063418 117352126836