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6354136710768 = 24371115111385383
BaseRepresentation
bin101110001110111000000…
…0011111011111001110000
3211111110010201020102122010
41130131300003323321300
51313101232444221033
621303014453442520
71224033300613530
oct134356003737160
924443121212563
106354136710768
11202a857580830
12867583640440
13371266c77c72
1417d782c014c0
15b0444268863
hex5c7700fbe70

6354136710768 has 160 divisors (see below), whose sum is σ = 20600804892672. Its totient is φ = 1639495008000.

The previous prime is 6354136710763. The next prime is 6354136710809. The reversal of 6354136710768 is 8670176314536.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6354136710763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5134596 + ... + 6250787.

Almost surely, 26354136710768 is an apocalyptic number.

It is an amenable number.

6354136710768 is an abundant number, since it is smaller than the sum of its proper divisors (14246668181904).

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

6354136710768 is a wasteful number, since it uses less digits than its factorization.

6354136710768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385563 (or 11385557 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 6354136710768 in words is "six trillion, three hundred fifty-four billion, one hundred thirty-six million, seven hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 151 154 168 176 231 264 302 308 336 453 462 528 604 616 906 924 1057 1208 1232 1661 1812 1848 2114 2416 3171 3322 3624 3696 4228 4983 6342 6644 7248 8456 9966 11627 12684 13288 16912 19932 23254 25368 26576 34881 39864 46508 50736 69762 79728 93016 139524 186032 279048 558096 11385383 22770766 34156149 45541532 68312298 79697681 91083064 125239213 136624596 159395362 182166128 239093043 250478426 273249192 318790724 375717639 478186086 500956852 546498384 637581448 751435278 876674491 956372172 1001913704 1275162896 1502870556 1719192833 1753348982 1912744344 2003827408 2630023473 3005741112 3438385666 3506697964 3825488688 5157578499 5260046946 6011482224 6876771332 7013395928 10315156998 10520093892 12034349831 13753542664 14026791856 18911121163 20630313996 21040187784 24068699662 27507085328 36103049493 37822242326 41260627992 42080375568 48137399324 56733363489 72206098986 75644484652 82521255984 96274798648 113466726978 132377848141 144412197972 151288969304 192549597296 226933453956 264755696282 288824395944 302577938608 397133544423 453866907912 529511392564 577648791888 794267088846 907733815824 1059022785128 1588534177692 2118045570256 3177068355384 6354136710768