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49999847097249 = 3107241572
BaseRepresentation
bin10110101111001011111110…
…01000000000001110100001
320120000221100022110000000000
423113211333020000032201
523023144141324102444
6254201340200050213
713350240551651400
oct1327457710001641
9216027308400000
1049999847097249
1114a278a8213a85
12573637b763969
1321b8c71b48a8a
14c4c0111a5637
155ba92650a469
hex2d797f2003a1

49999847097249 has 99 divisors (see below), whose sum is σ = 87265130993427. Its totient is φ = 28564468131024.

The previous prime is 49999847097223. The next prime is 49999847097251. The reversal of 49999847097249 is 94279074899994.

It is a happy number.

The square root of 49999847097249 is 7071057.

It is a perfect power (a square), and thus also a powerful number.

49999847097249 is a `hidden beast` number, since 4 + 9 + 9 + 9 + 9 + 8 + 470 + 97 + 2 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22765351403025 + 27234495694224 = 4771305^2 + 5218668^2 .

It is not a de Polignac number, because 49999847097249 - 29 = 49999847096737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49999847097269) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 12027865879 + ... + 12027870035.

Almost surely, 249999847097249 is an apocalyptic number.

49999847097249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

49999847097249 is the 7071057-th square number.

49999847097249 is the 3535529-th centered octagonal number.

It is an amenable number.

49999847097249 is a deficient number, since it is larger than the sum of its proper divisors (37265283896178).

49999847097249 is an frugal number, since it uses more digits than its factorization.

49999847097249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8358 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 26665583616, while the sum is 90.

The spelling of 49999847097249 in words is "forty-nine trillion, nine hundred ninety-nine billion, eight hundred forty-seven million, ninety-seven thousand, two hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 2187 3969 4157 5103 6561 11907 12471 15309 19683 29099 35721 37413 45927 59049 87297 107163 112239 137781 203693 261891 321489 336717 413343 611079 785673 964467 1010151 1833237 2357019 2893401 3030453 5499711 7071057 9091359 16499133 17280649 21213171 27274077 49497399 51841947 63639513 81822231 120964543 148492197 155525841 190918539 245466693 362893629 445476591 466577523 572755617 846751801 1088680887 1336429773 1399732569 1718266851 2540255403 3266042661 4009289319 4199197707 7620766209 9798127983 12027867957 12597593121 22862298627 29394383949 37792779363 68586895881 88183151847 113378338089 205760687643 264549455541 340135014267 617282062929 793648366623 1020405042801 1851846188787 2380945099869 5555538566361 7142835299607 16666615699083 49999847097249