Search a number
-
+
69856931425104 = 243223148791417573
BaseRepresentation
bin11111110001000110101011…
…00101010010101101010000
3100011100020221122212010122100
433320203111211102231100
533124013443421100404
6404323455315240400
720466665611561155
oct1770432545225520
9304306848763570
1069856931425104
112029318169427a
127a028a8ba9100
132cc96324a0525
1413371448a022c
158122146d6d39
hex3f88d5952b50

69856931425104 has 120 divisors (see below), whose sum is σ = 204016342832640. Its totient is φ = 22271711844096.

The previous prime is 69856931425103. The next prime is 69856931425163. The reversal of 69856931425104 is 40152413965896.

69856931425104 is a `hidden beast` number, since 6 + 9 + 8 + 5 + 69 + 314 + 251 + 0 + 4 = 666.

69856931425104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×698569314251042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69856931425103) 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 23 ways as a sum of consecutive naturals, for example, 48570462 + ... + 49988034.

It is an arithmetic number, because the mean of its divisors is an integer number (1700136190272).

Almost surely, 269856931425104 is an apocalyptic number.

It is an amenable number.

69856931425104 is an abundant number, since it is smaller than the sum of its proper divisors (134159411407536).

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

69856931425104 is a wasteful number, since it uses less digits than its factorization.

69856931425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432489 (or 1432480 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 69856931425104 in words is "sixty-nine trillion, eight hundred fifty-six billion, nine hundred thirty-one million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 14879 29758 44637 59516 89274 119032 133911 178548 238064 267822 342217 357096 535644 684434 714192 1026651 1071288 1368868 1417573 2053302 2142576 2737736 2835146 3079953 4106604 4252719 5475472 5670292 6159906 8213208 8505438 11340584 12319812 12758157 16426416 17010876 22681168 24639624 25516314 32604179 34021752 49279248 51032628 65208358 68043504 97812537 102065256 130416716 195625074 204130512 260833432 293437611 391250148 521666864 586875222 782500296 1173750444 1565000592 2347500888 4695001776 21092068667 42184137334 63276206001 84368274668 126552412002 168736549336 189828618003 253104824004 337473098672 379657236006 485117579341 506209648008 759314472012 970235158682 1012419296016 1455352738023 1518628944024 1940470317364 2910705476046 3037257888048 3880940634728 4366058214069 5821410952092 7761881269456 8732116428138 11642821904184 17464232856276 23285643808368 34928465712552 69856931425104