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117720354816 = 2123217872
BaseRepresentation
bin110110110100010101…
…1100001000000000000
3102020212010121122012100
41231220223201000000
53412042402323231
6130025135430400
711335135335351
oct1555053410000
9366763548170
10117720354816
1145a1a086a39
121a994385400
13b140b1acac
1459aa695d28
1530deca51e6
hex1b68ae1000

117720354816 has 117 divisors (see below), whose sum is σ = 340229902831. Its totient is φ = 39218159616.

The previous prime is 117720354781. The next prime is 117720354827. The reversal of 117720354816 is 618453027711.

The square root of 117720354816 is 343104.

It is a perfect power (a square), and thus also a powerful number.

117720354816 is a `hidden beast` number, since 1 + 1 + 77 + 20 + 3 + 548 + 16 = 666.

117720354816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65875075 + ... + 65876861.

Almost surely, 2117720354816 is an apocalyptic number.

117720354816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117720354816 is the 343104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117720354816

117720354816 is an abundant number, since it is smaller than the sum of its proper divisors (222509548015).

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

117720354816 is an frugal number, since it uses more digits than its factorization.

117720354816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 117720354816 in words is "one hundred seventeen billion, seven hundred twenty million, three hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1787 2048 2304 3072 3574 4096 4608 5361 6144 7148 9216 10722 12288 14296 16083 18432 21444 28592 32166 36864 42888 57184 64332 85776 114368 128664 171552 228736 257328 343104 457472 514656 686208 914944 1029312 1372416 1829888 2058624 2744832 3193369 3659776 4117248 5489664 6386738 7319552 8234496 9580107 10979328 12773476 16468992 19160214 21958656 25546952 28740321 32937984 38320428 51093904 57480642 65875968 76640856 102187808 114961284 153281712 204375616 229922568 306563424 408751232 459845136 613126848 817502464 919690272 1226253696 1635004928 1839380544 2452507392 3270009856 3678761088 4905014784 6540019712 7357522176 9810029568 13080039424 14715044352 19620059136 29430088704 39240118272 58860177408 117720354816