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117966434304 = 21239600133
BaseRepresentation
bin110110111011101011…
…0001111000000000000
3102021111021122202210110
41231313112033000000
53413043401344204
6130105410031320
711344214101305
oct1556726170000
9367437582713
10117966434304
1146035a82114
121aa42878540
13b17caba064
1459d12310ac
1531066b2889
hex1b7758f000

117966434304 has 52 divisors (see below), whose sum is σ = 314538790376. Its totient is φ = 39322140672.

The previous prime is 117966434293. The next prime is 117966434329. The reversal of 117966434304 is 403434669711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4787779 + ... + 4812354.

Almost surely, 2117966434304 is an apocalyptic number.

It is an amenable number.

117966434304 is an abundant number, since it is smaller than the sum of its proper divisors (196572356072).

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

117966434304 is an frugal number, since it uses more digits than its factorization.

117966434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600160 (or 9600138 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 117966434304 in words is "one hundred seventeen billion, nine hundred sixty-six million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 9600133 19200266 28800399 38400532 57600798 76801064 115201596 153602128 230403192 307204256 460806384 614408512 921612768 1228817024 1843225536 2457634048 3686451072 4915268096 7372902144 9830536192 14745804288 19661072384 29491608576 39322144768 58983217152 117966434304