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117251071008 = 25317653110023
BaseRepresentation
bin110110100110010110…
…1010101110000100000
3102012122102120112211120
41231030231111300200
53410112233233013
6125510413212240
711320406442111
oct1551455256040
9365572515746
10117251071008
11457a919a085
121a883191080
13b09782bb76
145964218208
1530b39a8123
hex1b4cb55c20

117251071008 has 96 divisors (see below), whose sum is σ = 326391037056. Its totient is φ = 36727984128.

The previous prime is 117251070997. The next prime is 117251071013. The reversal of 117251071008 is 800170152711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 117251071008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010685 + ... + 1120707.

It is an arithmetic number, because the mean of its divisors is an integer number (3399906636).

Almost surely, 2117251071008 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 117251071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163195518528).

117251071008 is an abundant number, since it is smaller than the sum of its proper divisors (209139966048).

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

117251071008 is a wasteful number, since it uses less digits than its factorization.

117251071008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110706 (or 110698 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 33.

The spelling of 117251071008 in words is "one hundred seventeen billion, two hundred fifty-one million, seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 653 816 1306 1632 1959 2612 3918 5224 7836 10448 11101 15672 20896 22202 31344 33303 44404 62688 66606 88808 110023 133212 177616 220046 266424 330069 355232 440092 532848 660138 880184 1065696 1320276 1760368 1870391 2640552 3520736 3740782 5281104 5611173 7481564 10562208 11222346 14963128 22444692 29926256 44889384 59852512 71845019 89778768 143690038 179557536 215535057 287380076 431070114 574760152 862140228 1149520304 1221365323 1724280456 2299040608 2442730646 3448560912 3664095969 4885461292 6897121824 7328191938 9770922584 14656383876 19541845168 29312767752 39083690336 58625535504 117251071008