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116846756576 = 2511372435639
BaseRepresentation
bin110110011010010011…
…1000000001011100000
3102011121020210020200222
41230310213000023200
53403300232202301
6125402331302212
711304400020614
oct1546447001340
9364536706628
10116846756576
1145610a47720
121a78b8aa968
13b031b39864
14592664d344
15308d24131b
hex1b349c02e0

116846756576 has 144 divisors (see below), whose sum is σ = 263965806720. Its totient is φ = 50465963520.

The previous prime is 116846756561. The next prime is 116846756599. The reversal of 116846756576 is 675657648611.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20718365 + ... + 20724003.

It is an arithmetic number, because the mean of its divisors is an integer number (1833095880).

Almost surely, 2116846756576 is an apocalyptic number.

116846756576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116846756576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131982903360).

116846756576 is an abundant number, since it is smaller than the sum of its proper divisors (147119050144).

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

116846756576 is a wasteful number, since it uses less digits than its factorization.

116846756576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5732 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 62.

It can be divided in two parts, 1168467 and 56576, that added together give a cube (1225043 = 1073).

The spelling of 116846756576 in words is "one hundred sixteen billion, eight hundred forty-six million, seven hundred fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 37 43 44 74 86 88 148 172 176 296 344 352 407 473 592 688 814 946 1184 1369 1376 1591 1628 1892 2738 3182 3256 3784 5476 5639 6364 6512 7568 10952 11278 12728 13024 15059 15136 17501 21904 22556 25456 30118 35002 43808 45112 50912 58867 60236 62029 70004 90224 117734 120472 124058 140008 180448 208643 235468 240944 242477 248116 280016 417286 470936 481888 484954 496232 560032 647537 834572 941872 969908 992464 1295074 1669144 1883744 1939816 1984928 2295073 2590148 2667247 3338288 3879632 4590146 5180296 5334494 6676576 7719791 7759264 8971649 9180292 10360592 10668988 15439582 17943298 18360584 20721184 21337976 30879164 35886596 36721168 42675952 61758328 71773192 73442336 84917701 85351904 98688139 123516656 143546384 169835402 197376278 247033312 287092768 331951013 339670804 394752556 663902026 679341608 789505112 1327804052 1358683216 1579010224 2655608104 2717366432 3158020448 3651461143 5311216208 7302922286 10622432416 14605844572 29211689144 58423378288 116846756576