Search a number
-
+
49778655416 = 23747591312447
BaseRepresentation
bin101110010111000010…
…100000000010111000
311202111011022200221022
4232113002200002320
51303421313433131
634511253202012
73411363406160
oct562702400270
9152434280838
1049778655416
111a124831646
129792930308
134903c512b9
1425a31935a0
15146522137b
hexb970a00b8

49778655416 has 128 divisors (see below), whose sum is σ = 111675801600. Its totient is φ = 20360895360.

The previous prime is 49778655401. The next prime is 49778655431. The reversal of 49778655416 is 61455687794.

It is an interprime number because it is at equal distance from previous prime (49778655401) and next prime (49778655431).

It is a super-2 number, since 2×497786554162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20341505 + ... + 20343951.

It is an arithmetic number, because the mean of its divisors is an integer number (872467200).

Almost surely, 249778655416 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 49778655416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55837900800).

49778655416 is an abundant number, since it is smaller than the sum of its proper divisors (61897146184).

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

49778655416 is a wasteful number, since it uses less digits than its factorization.

49778655416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2693 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 62.

The spelling of 49778655416 in words is "forty-nine billion, seven hundred seventy-eight million, six hundred fifty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 47 56 59 94 118 131 188 236 262 329 376 413 472 524 658 826 917 1048 1316 1652 1834 2447 2632 2773 3304 3668 4894 5546 6157 7336 7729 9788 11092 12314 15458 17129 19411 19576 22184 24628 30916 34258 38822 43099 49256 54103 61832 68516 77644 86198 108206 115009 137032 144373 155288 172396 216412 230018 288746 320557 344792 363263 432824 460036 577492 641114 726526 805063 920072 1010611 1154984 1282228 1453052 1610126 2021222 2243899 2542841 2564456 2906104 3220252 4042444 4487798 5085682 6440504 6785531 8084888 8975596 10171364 13571062 15066179 17951192 18912863 20342728 27142124 30132358 37825726 47498717 54284248 60264716 75651452 94997434 105463253 120529432 132390041 151302904 189994868 210926506 264780082 379989736 421853012 529560164 843706024 888904561 1059120328 1777809122 3555618244 6222331927 7111236488 12444663854 24889327708 49778655416