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116040218006646 = 23367239857156589
BaseRepresentation
bin11010011000100110110111…
…111110010101010001110110
3120012212100002022100202102000
4122120212313332111101312
5110202200331302203041
61050444050142200130
733304425530453523
oct3230466776252166
9505770068322360
10116040218006646
1133a7941a9a226a
1211021456283046
134c99712903b0b
14209253b24a14a
15d63714396bb6
hex6989b7f95476

116040218006646 has 128 divisors (see below), whose sum is σ = 263119304448000. Its totient is φ = 37898815756032.

The previous prime is 116040218006611. The next prime is 116040218006663. The reversal of 116040218006646 is 646600812040611.

116040218006646 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 402 + 180 + 0 + 6 + 64 + 6 = 666.

It is a congruent number.

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, 740971320 + ... + 741127908.

It is an arithmetic number, because the mean of its divisors is an integer number (2055619566000).

Almost surely, 2116040218006646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116040218006646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131559652224000).

116040218006646 is an abundant number, since it is smaller than the sum of its proper divisors (147079086441354).

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

116040218006646 is a wasteful number, since it uses less digits than its factorization.

116040218006646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157763 (or 157757 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 116040218006646 in words is "one hundred sixteen trillion, forty billion, two hundred eighteen million, six thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 239 402 478 603 717 857 1206 1434 1714 1809 2151 2571 3618 4302 5142 6453 7713 12906 15426 16013 23139 32026 46278 48039 57419 96078 114838 144117 156589 172257 204823 288234 313178 344514 409646 432351 469767 516771 614469 864702 939534 1033542 1228938 1409301 1550313 1843407 2818602 3100626 3686814 4227903 5530221 8455806 10491463 11060442 13723141 20982926 27446282 31474389 37424771 41169423 62948778 74849542 82338846 94423167 112274313 123508269 134196773 188846334 224548626 247016538 268393546 283269501 336822939 370524807 402590319 566539002 673645878 741049614 805180638 1010468817 1207770957 2020937634 2415541914 2507459657 3623312871 5014919314 7246625742 7522378971 8991183791 15044757942 17982367582 22567136913 26973551373 32073028747 45134273826 53947102746 64146057494 67701410739 80920654119 96219086241 135402821478 161841308238 192438172482 242761962357 288657258723 485523924714 577314517446 865971776169 1731943552338 2148892926049 4297785852098 6446678778147 12893357556294 19340036334441 38680072668882 58020109003323 116040218006646