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117934039745536 = 21072484812
BaseRepresentation
bin11010110100001010101000…
…100010111100010000000000
3120110120101101000002002011211
4122310022220202330100000
5110424212403133324121
61054454052214415504
733561311305601200
oct3264125042742000
9513511330062154
10117934039745536
11346395aa9a1a33
12112884a7361594
1350a6194677441
14211a076306400
15d97b05a3dce1
hex6b42a88bc400

117934039745536 has 99 divisors (see below), whose sum is σ = 274248837305397. Its totient is φ = 50542117355520.

The previous prime is 117934039745491. The next prime is 117934039745539. The reversal of 117934039745536 is 635547930439711.

The square root of 117934039745536 is 10859744.

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

It can be written as a sum of positive squares in only one way, i.e., 117147199783936 + 786839961600 = 10823456^2 + 887040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117934039745539) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2432558416 + ... + 2432606896.

Almost surely, 2117934039745536 is an apocalyptic number.

117934039745536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117934039745536 is the 10859744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117934039745536

117934039745536 is an abundant number, since it is smaller than the sum of its proper divisors (156314797559861).

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

117934039745536 is an frugal number, since it uses more digits than its factorization.

117934039745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96996 (or 48490 counting only the distinct ones).

The product of its (nonzero) digits is 257191200, while the sum is 67.

The spelling of 117934039745536 in words is "one hundred seventeen trillion, nine hundred thirty-four billion, thirty-nine million, seven hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 12544 25088 48481 50176 96962 193924 339367 387848 678734 775696 1357468 1551392 2375569 2714936 3102784 4751138 5429872 6205568 9502276 10859744 12411136 19004552 21719488 24822272 38009104 43438976 49644544 76018208 86877952 152036416 173755904 304072832 347511808 608145664 1216291328 2350407361 2432582656 4700814722 9401629444 16452851527 18803258888 32905703054 37606517776 65811406108 75213035552 115169960689 131622812216 150426071104 230339921378 263245624432 300852142208 460679842756 526491248864 601704284416 921359685512 1052982497728 1203408568832 1842719371024 2105964995456 2406817137664 3685438742048 4211929990912 7370877484096 8423859981824 14741754968192 16847719963648 29483509936384 58967019872768 117934039745536