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742710998117376 = 210348954366779
BaseRepresentation
bin1010100011011111011110000…
…1001101101010110000000000
310121101201110220110101012210000
42220313313201031222300000
51234322034111004224001
611151340420001440000
7312304045622333061
oct25067674115526000
93541643813335700
10742710998117376
111a5717a69001a72
126b37244a640000
1325b56467637082
14d159592c50568
155ace93e05aa86
hex2a37de136ac00

742710998117376 has 110 divisors (see below), whose sum is σ = 2217880244637860. Its totient is φ = 247570332678144.

The previous prime is 742710998117303. The next prime is 742710998117479. The reversal of 742710998117376 is 673711899017247.

It is a happy number.

742710998117376 is a `hidden beast` number, since 7 + 42 + 7 + 10 + 9 + 98 + 117 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4477100446 + ... + 4477266333.

It is an arithmetic number, because the mean of its divisors is an integer number (20162547678526).

Almost surely, 2742710998117376 is an apocalyptic number.

It is an amenable number.

742710998117376 is an abundant number, since it is smaller than the sum of its proper divisors (1475169246520484).

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

742710998117376 is an equidigital number, since it uses as much as digits as its factorization.

742710998117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954366811 (or 8954366784 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 72.

The spelling of 742710998117376 in words is "seven hundred forty-two trillion, seven hundred ten billion, nine hundred ninety-eight million, one hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 8954366779 17908733558 26863100337 35817467116 53726200674 71634934232 80589301011 107452401348 143269868464 161178602022 214904802696 241767903033 286539736928 322357204044 429809605392 483535806066 573079473856 644714408088 725303709099 859619210784 967071612132 1146158947712 1289428816176 1450607418198 1719238421568 1934143224264 2292317895424 2578857632352 2901214836396 3438476843136 3868286448528 4584635790848 5157715264704 5802429672792 6876953686272 7736572897056 9169271581696 10315430529408 11604859345584 13753907372544 15473145794112 20630861058816 23209718691168 27507814745088 30946291588224 41261722117632 46419437382336 61892583176448 82523444235264 92838874764672 123785166352896 185677749529344 247570332705792 371355499058688 742710998117376