Search a number
-
+
492139024142688 = 25331343815796309
BaseRepresentation
bin110111111100110010000101…
…1101101101101000101100000
32101112112000211202122102202000
41233321210023231231011200
51004001201210140031223
64502405314015324000
7205442604541565526
oct15771441355550540
92345460752572660
10492139024142688
111328a0a960aa72a
1247243a0b520600
131817b684428570
148975927984316
153bd69eab96543
hex1bf990bb6d160

492139024142688 has 96 divisors (see below), whose sum is σ = 1545821293816800. Its totient is φ = 151427392040448.

The previous prime is 492139024142681. The next prime is 492139024142719. The reversal of 492139024142688 is 886241420931294.

It is a happy number.

492139024142688 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 3 + 90 + 2 + 41 + 426 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492139024142681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21907886923 + ... + 21907909386.

It is an arithmetic number, because the mean of its divisors is an integer number (16102305143925).

Almost surely, 2492139024142688 is an apocalyptic number.

492139024142688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

492139024142688 is an abundant number, since it is smaller than the sum of its proper divisors (1053682269674112).

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

492139024142688 is a wasteful number, since it uses less digits than its factorization.

492139024142688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43815796341 (or 43815796327 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 492139024142688 in words is "four hundred ninety-two trillion, one hundred thirty-nine billion, twenty-four million, one hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 43815796309 87631592618 131447388927 175263185236 262894777854 350526370472 394342166781 525789555708 569605352017 701052740944 788684333562 1051579111416 1139210704034 1183026500343 1402105481888 1577368667124 1708816056051 2103158222832 2278421408068 2366053000686 3154737334248 3417632112102 4206316445664 4556842816136 4732106001372 5126448168153 6309474668496 6835264224204 9113685632272 9464212002744 10252896336306 12618949336992 13670528448408 15379344504459 18227371264544 18928424005488 20505792672612 27341056896816 30758689008918 37856848010976 41011585345224 54682113793632 61517378017836 82023170690448 123034756035672 164046341380896 246069512071344 492139024142688