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49847706756 = 223212722932
BaseRepresentation
bin101110011011001001…
…111010010010000100
311202122222020212120100
4232123021322102010
51304042003104011
634522201204100
73413162342061
oct563311722204
9152588225510
1049847706756
111a15a804971
1297b1a90630
13491534a093
1425ac409c68
15146b310d56
hexb9b27a484

49847706756 has 81 divisors (see below), whose sum is σ = 127438834341. Its totient is φ = 16428805344.

The previous prime is 49847706749. The next prime is 49847706791. The reversal of 49847706756 is 65760774894.

The square root of 49847706756 is 223266.

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

49847706756 is a `hidden beast` number, since 4 + 98 + 477 + 0 + 6 + 75 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47162808900 + 2684897856 = 217170^2 + 51816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49847706693 and 49847706702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 170128546 + ... + 170128838.

Almost surely, 249847706756 is an apocalyptic number.

49847706756 is the 223266-th square number.

It is an amenable number.

49847706756 is an abundant number, since it is smaller than the sum of its proper divisors (77591127585).

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

49847706756 is a wasteful number, since it uses less digits than its factorization.

49847706756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 49847706756 in words is "forty-nine billion, eight hundred forty-seven million, seven hundred six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 293 381 508 586 762 879 1143 1172 1524 1758 2286 2637 3516 4572 5274 10548 16129 32258 37211 48387 64516 74422 85849 96774 111633 145161 148844 171698 193548 223266 257547 290322 334899 343396 446532 515094 580644 669798 772641 1030188 1339596 1545282 3090564 4725797 9451594 10902823 14177391 18903188 21805646 28354782 32708469 42532173 43611292 56709564 65416938 85064346 98125407 130833876 170128692 196250814 392501628 1384658521 2769317042 4153975563 5538634084 8307951126 12461926689 16615902252 24923853378 49847706756