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117201453460 = 225713229281207
BaseRepresentation
bin110110100100111000…
…0000100000110010100
3102012111222012201100121
41231021300010012110
53410012033002320
6125501441521324
711316234626410
oct1551160040624
9365458181317
10117201453460
114578318a743
121a86a643244
13b08a478880
14595b7bdd40
1530ae4568aa
hex1b49c04194

117201453460 has 96 divisors (see below), whose sum is σ = 304244559360. Its totient is φ = 36930221568.

The previous prime is 117201453437. The next prime is 117201453491. The reversal of 117201453460 is 64354102711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276177 + ... + 557383.

It is an arithmetic number, because the mean of its divisors is an integer number (3169214160).

Almost surely, 2117201453460 is an apocalyptic number.

117201453460 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 117201453460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152122279680).

117201453460 is an abundant number, since it is smaller than the sum of its proper divisors (187043105900).

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

117201453460 is a wasteful number, since it uses less digits than its factorization.

117201453460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281465 (or 281463 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 117201453460 in words is "one hundred seventeen billion, two hundred one million, four hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 229 260 364 455 458 910 916 1145 1603 1820 2290 2977 3206 4580 5954 6412 8015 11908 14885 16030 20839 29770 32060 41678 59540 83356 104195 208390 281207 416780 562414 1124828 1406035 1968449 2812070 3655691 3936898 5624140 7311382 7873796 9842245 14622764 18278455 19684490 25589837 36556910 39368980 51179674 64396403 73113820 102359348 127949185 128792806 255898370 257585612 321982015 450774821 511796740 643964030 837153239 901549642 1287928060 1674306478 1803099284 2253874105 3348612956 4185766195 4507748210 5860072673 8371532390 9015496420 11720145346 16743064780 23440290692 29300363365 58600726730 117201453460