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5046781056 = 27337593599
BaseRepresentation
bin1001011001100111…
…11100010010000000
3111000201102001002220
410230303330102000
540313433443211
62152442011040
7236030634252
oct45463742200
914021361086
105046781056
11215a85a339
12b8a1a6a80
1362575aaa5
1435c39bcd2
151e80e7806
hex12ccfc480

5046781056 has 128 divisors (see below), whose sum is σ = 13814064000. Its totient is φ = 1631305728.

The previous prime is 5046781039. The next prime is 5046781063. The reversal of 5046781056 is 6501876405.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5046780999 and 5046781017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8425045 + ... + 8425643.

It is an arithmetic number, because the mean of its divisors is an integer number (107922375).

Almost surely, 25046781056 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 5046781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907032000).

5046781056 is an abundant number, since it is smaller than the sum of its proper divisors (8767282944).

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

5046781056 is a wasteful number, since it uses less digits than its factorization.

5046781056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5046781056 is about 71040.6999965513. The cubic root of 5046781056 is about 1715.2923658444.

The spelling of 5046781056 in words is "five billion, forty-six million, seven hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 593 599 888 1184 1186 1198 1776 1779 1797 2368 2372 2396 3552 3558 3594 4736 4744 4792 7104 7116 7188 9488 9584 14208 14232 14376 18976 19168 21941 22163 28464 28752 37952 38336 43882 44326 56928 57504 65823 66489 75904 76672 87764 88652 113856 115008 131646 132978 175528 177304 227712 230016 263292 265956 351056 354608 355207 526584 531912 702112 709216 710414 1053168 1063824 1065621 1404224 1418432 1420828 2106336 2127648 2131242 2808448 2836864 2841656 4212672 4255296 4262484 5683312 8425344 8510592 8524968 11366624 13142659 17049936 22733248 26285318 34099872 39427977 45466496 52570636 68199744 78855954 105141272 136399488 157711908 210282544 315423816 420565088 630847632 841130176 1261695264 1682260352 2523390528 5046781056