Search a number
-
+
117217025376 = 25311214351797
BaseRepresentation
bin110110100101010101…
…1011101110101100000
3102012120001111212000020
41231022223131311200
53410030024303001
6125503155353440
711316514163523
oct1551253356540
9365501455006
10117217025376
1145790a560a0
121a8738b2880
13b09076b619
14595d8b4bba
1530b09d0736
hex1b4aaddd60

117217025376 has 96 divisors (see below), whose sum is σ = 335830053888. Its totient is φ = 35503050240.

The previous prime is 117217025371. The next prime is 117217025383. The reversal of 117217025376 is 673520712711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117217025371) 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, 2237110 + ... + 2288906.

It is an arithmetic number, because the mean of its divisors is an integer number (3498229728).

Almost surely, 2117217025376 is an apocalyptic number.

117217025376 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 117217025376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167915026944).

117217025376 is an abundant number, since it is smaller than the sum of its proper divisors (218613028512).

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

117217025376 is a wasteful number, since it uses less digits than its factorization.

117217025376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53964 (or 53956 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 117217025376 in words is "one hundred seventeen billion, two hundred seventeen million, twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2143 4286 6429 8572 12858 17144 23573 25716 34288 47146 51432 51797 68576 70719 94292 102864 103594 141438 155391 188584 205728 207188 282876 310782 377168 414376 565752 569767 621564 754336 828752 1131504 1139534 1243128 1657504 1709301 2263008 2279068 2486256 3418602 4558136 4972512 6837204 9116272 13674408 18232544 27348816 54697632 111000971 222001942 333002913 444003884 666005826 888007768 1221010681 1332011652 1776015536 2442021362 2664023304 3552031072 3663032043 4884042724 5328046608 7326064086 9768085448 10656093216 14652128172 19536170896 29304256344 39072341792 58608512688 117217025376