Search a number
-
+
117028830358584 = 23331963614482911
BaseRepresentation
bin11010100110111111100101…
…110111001010110000111000
3120100100211212101220201111000
4122212333211313022300320
5110314400021032433314
61052522145200005000
733436024341011454
oct3246774567126070
9510324771821430
10117028830358584
113431a714890671
1211160b7a600760
13503ba04869961
1420c8323115664
15d7e2c5eea209
hex6a6fe5dcac38

117028830358584 has 128 divisors (see below), whose sum is σ = 342243433728000. Its totient is φ = 36950654649600.

The previous prime is 117028830358549. The next prime is 117028830358597. The reversal of 117028830358584 is 485853038820711.

117028830358584 is a `hidden beast` number, since 1 + 17 + 0 + 2 + 8 + 8 + 3 + 0 + 35 + 8 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23864089 + ... + 28346999.

It is an arithmetic number, because the mean of its divisors is an integer number (2673776826000).

Almost surely, 2117028830358584 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 117028830358584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171121716864000).

117028830358584 is an abundant number, since it is smaller than the sum of its proper divisors (225214603369416).

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

117028830358584 is a wasteful number, since it uses less digits than its factorization.

117028830358584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489306 (or 4489296 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 117028830358584 in words is "one hundred seventeen trillion, twenty-eight billion, eight hundred thirty million, three hundred fifty-eight thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 6361 12722 19083 25444 38166 50888 57249 76332 114498 120859 152664 171747 228996 241718 343494 362577 457992 483436 686988 725154 966872 1087731 1373976 1450308 2175462 2900616 3263193 4350924 4482911 6526386 8701848 8965822 13052772 13448733 17931644 26105544 26897466 35863288 40346199 53794932 80692398 85175309 107589864 121038597 161384796 170350618 242077194 255525927 322769592 340701236 484154388 511051854 681402472 766577781 968308776 1022103708 1533155562 2044207416 2299733343 3066311124 4599466686 6132622248 9198933372 18397866744 28515796871 57031593742 85547390613 114063187484 171094781226 228126374968 256642171839 342189562452 513284343678 541800140549 684379124904 769926515517 1026568687356 1083600281098 1539853031034 1625400421647 2053137374712 2167200562196 3079706062068 3250800843294 4334401124392 4876201264941 6159412124136 6501601686588 9752402529882 13003203373176 14628603794823 19504805059764 29257207589646 39009610119528 58514415179292 117028830358584