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116848080640 = 2852926311969
BaseRepresentation
bin110110011010010110…
…0000011011100000000
3102011121100021111222101
41230310230003130000
53403301102040030
6125402415520144
711304414204064
oct1546454033400
9364540244871
10116848080640
1145611771495
121a790229054
13b0321b1425
1459268b5aa4
15308d4037ca
hex1b34b03700

116848080640 has 144 divisors (see below), whose sum is σ = 290664158400. Its totient is φ = 44952190976.

The previous prime is 116848080631. The next prime is 116848080641. The reversal of 116848080640 is 46080848611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116848080641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9756576 + ... + 9768544.

It is an arithmetic number, because the mean of its divisors is an integer number (2018501100).

Almost surely, 2116848080640 is an apocalyptic number.

116848080640 is a gapful number since it is divisible by the number (10) 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 116848080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145332079200).

116848080640 is an abundant number, since it is smaller than the sum of its proper divisors (173816077760).

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

116848080640 is a wasteful number, since it uses less digits than its factorization.

116848080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 116848080640 in words is "one hundred sixteen billion, eight hundred forty-eight million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 263 290 320 464 526 580 640 928 1052 1160 1280 1315 1856 2104 2320 2630 3712 4208 4640 5260 7424 7627 8416 9280 10520 11969 15254 16832 18560 21040 23938 30508 33664 37120 38135 42080 47876 59845 61016 67328 76270 84160 95752 119690 122032 152540 168320 191504 239380 244064 305080 336640 347101 383008 478760 488128 610160 694202 766016 957520 976256 1220320 1388404 1532032 1735505 1915040 1952512 2440640 2776808 3064064 3147847 3471010 3830080 4881280 5553616 6295694 6942020 7660160 9762560 11107232 12591388 13884040 15320320 15739235 22214464 25182776 27768080 31478470 44428928 50365552 55536160 62956940 88857856 91287563 100731104 111072320 125913880 182575126 201462208 222144640 251827760 365150252 402924416 444289280 456437815 503655520 730300504 805848832 912875630 1007311040 1460601008 1825751260 2014622080 2921202016 3651502520 4029244160 5842404032 7303005040 11684808064 14606010080 23369616128 29212020160 58424040320 116848080640