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4992825649392 = 24347278622223
BaseRepresentation
bin100100010100111101110…
…0110010110100011110000
3122200022100121022100120000
41020221323212112203300
51123300301331240032
614341401125150000
71023501605534100
oct110517346264360
918608317270500
104992825649392
111655499a09789
1268778725b300
132a2a8a9149a9
14133922a03200
1589d1c967e7c
hex48a7b9968f0

4992825649392 has 150 divisors (see below), whose sum is σ = 16809981846768. Its totient is φ = 1426521595968.

The previous prime is 4992825649367. The next prime is 4992825649397. The reversal of 4992825649392 is 2939465282994.

4992825649392 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 82 + 56 + 493 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4992825649392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992825649397) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39247608 + ... + 39374615.

Almost surely, 24992825649392 is an apocalyptic number.

4992825649392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4992825649392 is an abundant number, since it is smaller than the sum of its proper divisors (11817156197376).

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

4992825649392 is a wasteful number, since it uses less digits than its factorization.

4992825649392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78622257 (or 78622235 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 4992825649392 in words is "four trillion, nine hundred ninety-two billion, eight hundred twenty-five million, six hundred forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 78622223 157244446 235866669 314488892 471733338 550355561 628977784 707600007 943466676 1100711122 1257955568 1415200014 1651066683 1886933352 2122800021 2201422244 2830400028 3302133366 3773866704 3852488927 4245600042 4402844488 4953200049 5660800056 6368400063 6604266732 7704977854 8491200084 8805688976 9906400098 11321600112 11557466781 12736800126 13208533464 14859600147 15409955708 16982400168 19812800196 23114933562 25473600252 26417066928 29719200294 30819911416 33964800336 34672400343 39625600392 44578800441 46229867124 50947200504 59438400588 61639822832 69344800686 79251200784 89157600882 92459734248 101894401008 104017201029 118876801176 138689601372 178315201764 184919468496 208034402058 237753602352 277379202744 312051603087 356630403528 416068804116 554758405488 624103206174 713260807056 832137608232 1248206412348 1664275216464 2496412824696 4992825649392