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49815627056 = 241321071671031
BaseRepresentation
bin101110011001001111…
…100010010100110000
311202120201220001111022
4232121033202110300
51304010300031211
634515053435012
73412322562206
oct563117422460
9152521801438
1049815627056
111a143693a18
1297a319ba68
13490b7c7600
1425a8059076
1514685c5bdb
hexb993e2530

49815627056 has 120 divisors (see below), whose sum is σ = 106224701184. Its totient is φ = 22618602240.

The previous prime is 49815627053. The next prime is 49815627077. The reversal of 49815627056 is 65072651894.

It is a junction number, because it is equal to n+sod(n) for n = 49815626989 and 49815627007.

It is not an unprimeable number, because it can be changed into a prime (49815627053) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48317261 + ... + 48318291.

Almost surely, 249815627056 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 49815627056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53112350592).

49815627056 is an abundant number, since it is smaller than the sum of its proper divisors (56409074128).

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

49815627056 is a wasteful number, since it uses less digits than its factorization.

49815627056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 49815627056 in words is "forty-nine billion, eight hundred fifteen million, six hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 107 167 169 208 214 334 338 428 668 676 856 1031 1336 1352 1391 1712 2062 2171 2672 2704 2782 4124 4342 5564 8248 8684 11128 13403 16496 17368 17869 18083 22256 26806 28223 34736 35738 36166 53612 56446 71476 72332 107224 110317 112892 142952 144664 172177 174239 214448 220634 225784 232297 285904 289328 344354 348478 441268 451568 464594 688708 696956 882536 929188 1377416 1393912 1434121 1765072 1858376 2238301 2754832 2787824 2868242 3019861 3716752 4476602 5736484 6039722 8953204 11472968 12079444 17906408 18422939 18643573 22945936 24158888 29097913 35812816 36845878 37287146 48317776 58195826 73691756 74574292 116391652 147383512 149148584 232783304 239498207 294767024 298297168 465566608 478996414 957992828 1915985656 3113476691 3831971312 6226953382 12453906764 24907813528 49815627056