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117359000934 = 23723443274243
BaseRepresentation
bin110110101001100100…
…1000011110101100110
3102012220221122221212020
41231103021003311212
53410322401012214
6125525230404010
711323160022450
oct1552311036546
9365827587766
10117359000934
114585410746a
121a8b3360606
13b0b3cbac26
1459746b12d0
1530bd1c74a9
hex1b53243d66

117359000934 has 64 divisors (see below), whose sum is σ = 280545030144. Its totient is φ = 32000750496.

The previous prime is 117359000933. The next prime is 117359000947. The reversal of 117359000934 is 439000953711.

117359000934 = 1712872 + 1712882 + ... + 1712902.

It is a super-2 number, since 2×1173590009342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117359000933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290817 + ... + 565059.

It is an arithmetic number, because the mean of its divisors is an integer number (4383516096).

Almost surely, 2117359000934 is an apocalyptic number.

117359000934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117359000934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140272515072).

117359000934 is an abundant number, since it is smaller than the sum of its proper divisors (163186029210).

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

117359000934 is a wasteful number, since it uses less digits than its factorization.

117359000934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274721.

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 117359000934 in words is "one hundred seventeen billion, three hundred fifty-nine million, nine hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 443 483 886 966 1329 2658 3101 6202 9303 10189 18606 20378 30567 61134 71323 142646 213969 274243 427938 548486 822729 1645458 1919701 3839402 5759103 6307589 11518206 12615178 18922767 37845534 44153123 88306246 121489649 132459369 242979298 264918738 364468947 728937894 850427543 1700855086 2551282629 2794261927 5102565258 5588523854 8382785781 16765571562 19559833489 39119666978 58679500467 117359000934