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117350210268 = 22351133473079
BaseRepresentation
bin110110101001010011…
…1100001101011011100
3102012220100010100100000
41231102213201223130
53410313123212033
6125524314134300
711323022220624
oct1552247415334
9365810110300
10117350210268
114584a152955
121a8b0421390
13b0b2230955
145973463884
1530bc53ca13
hex1b529e1adc

117350210268 has 144 divisors (see below), whose sum is σ = 311339508480. Its totient is φ = 38646284544.

The previous prime is 117350210267. The next prime is 117350210269. The reversal of 117350210268 is 862012053711.

117350210268 is a `hidden beast` number, since 11 + 73 + 502 + 10 + 2 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (117350210267) and next prime (117350210269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117350210261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38111553 + ... + 38114631.

It is an arithmetic number, because the mean of its divisors is an integer number (2162079920).

Almost surely, 2117350210268 is an apocalyptic number.

117350210268 is a gapful number since it is divisible by the number (18) 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 117350210268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155669754240).

117350210268 is an abundant number, since it is smaller than the sum of its proper divisors (193989298212).

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

117350210268 is a wasteful number, since it uses less digits than its factorization.

117350210268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 117350210268 its reverse (862012053711), we get a palindrome (979362263979).

The spelling of 117350210268 in words is "one hundred seventeen billion, three hundred fifty million, two hundred ten thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 347 452 486 678 694 972 1017 1041 1356 1388 2034 2082 3051 3079 3123 4068 4164 6102 6158 6246 9153 9237 9369 12204 12316 12492 18306 18474 18738 27459 27711 28107 36612 36948 37476 39211 54918 55422 56214 78422 83133 84321 109836 110844 112428 117633 156844 166266 168642 235266 249399 332532 337284 347927 352899 470532 498798 695854 705798 748197 997596 1043781 1058697 1068413 1391708 1411596 1496394 2087562 2117394 2136826 2992788 3131343 3176091 3205239 4175124 4234788 4273652 6262686 6352182 6410478 9394029 9528273 9615717 12525372 12704364 12820956 18788058 19056546 19231434 28182087 28847151 37576116 38113092 38462868 56364174 57694302 84546261 86541453 112728348 115388604 120730669 169092522 173082906 241461338 259624359 338185044 346165812 362192007 482922676 519248718 724384014 1038497436 1086576021 1448768028 2173152042 3259728063 4346304084 6519456126 9779184189 13038912252 19558368378 29337552567 39116736756 58675105134 117350210268