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857449918272 = 26313942977477
BaseRepresentation
bin11000111101000111111…
…11110110111101000000
310000222020011021222020110
430132203333312331000
5103022024134341042
61453523531311320
7115643260023063
oct14364377667500
93028204258213
10857449918272
113007081416a2
1211a21a2ab540
1362b1b2c0a5c
142d70228c8da
1517486c2509c
hexc7a3ff6f40

857449918272 has 112 divisors (see below), whose sum is σ = 2285828377280. Its totient is φ = 283656425472.

The previous prime is 857449918271. The next prime is 857449918291. The reversal of 857449918272 is 272819944758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857449918271) 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, 114674598 + ... + 114682074.

It is an arithmetic number, because the mean of its divisors is an integer number (20409181940).

Almost surely, 2857449918272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857449918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142914188640).

857449918272 is an abundant number, since it is smaller than the sum of its proper divisors (1428378459008).

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

857449918272 is a wasteful number, since it uses less digits than its factorization.

857449918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 11918 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 66.

The spelling of 857449918272 in words is "eight hundred fifty-seven billion, four hundred forty-nine million, nine hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4297 4448 6672 7477 8594 8896 12891 13344 14954 17188 22431 25782 26688 29908 34376 44862 51564 59816 68752 89724 103128 119632 137504 179448 206256 239264 275008 358896 412512 478528 597283 717792 825024 1039303 1194566 1435584 1791849 2078606 2389132 3117909 3583698 4157212 4778264 6235818 7167396 8314424 9556528 12471636 14334792 16628848 19113056 24943272 28669584 32128669 33257696 38226112 49886544 57339168 64257338 66515392 96386007 99773088 114678336 128514676 192772014 199546176 257029352 385544028 514058704 771088056 1028117408 1542176112 2056234816 3084352224 4465884991 6168704448 8931769982 13397654973 17863539964 26795309946 35727079928 53590619892 71454159856 107181239784 142908319712 214362479568 285816639424 428724959136 857449918272