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117229698964 = 2277191873
BaseRepresentation
bin110110100101101101…
…1110011111110010100
3102012120221100201220101
41231023123303332110
53410041300331324
6125504331143444
711320030000000
oct1551333637624
9365527321811
10117229698964
1145798121a34
121a877ba4b84
13b0932880a1
145961453700
1530b1b85944
hex1b4b6f3f94

117229698964 has 96 divisors (see below), whose sum is σ = 252075488000. Its totient is φ = 47571608448.

The previous prime is 117229698961. The next prime is 117229699001. The reversal of 117229698964 is 469896922711.

117229698964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 117229698896 and 117229698905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117229698961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62588332 + ... + 62590204.

Almost surely, 2117229698964 is an apocalyptic number.

117229698964 is a gapful number since it is divisible by the number (14) 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 117229698964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126037744000).

117229698964 is an abundant number, since it is smaller than the sum of its proper divisors (134845789036).

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

117229698964 is an frugal number, since it uses more digits than its factorization.

117229698964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1901 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 64.

The spelling of 117229698964 in words is "one hundred seventeen billion, two hundred twenty-nine million, six hundred ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1372 1862 1873 2401 3724 3746 4802 6517 7492 9604 13034 13111 16807 26068 26222 33614 35587 45619 52444 67228 71174 91238 91777 117649 142348 182476 183554 235298 249109 319333 367108 470596 498218 638666 642439 823543 996436 1277332 1284878 1647086 1743763 2235331 2569756 3294172 3487526 4470662 4497073 6975052 8941324 8994146 12206341 15647317 17988292 24412682 31294634 31479511 48825364 62589268 62959022 85444387 125918044 170888774 220356577 341777548 440713154 598110709 881426308 1196221418 1542496039 2392442836 3084992078 4186774963 6169984156 8373549926 16747099852 29307424741 58614849482 117229698964