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49556450268 = 22341337331543
BaseRepresentation
bin101110001001110010…
…110110101111011100
311201220200012111210000
4232021302312233130
51302442422402033
634433234414300
73403024606563
oct561162665734
9151820174700
1049556450268
111a020362626
129730431390
134899bc0c70
142581870bda
15145097ca13
hexb89cb6bdc

49556450268 has 120 divisors (see below), whose sum is σ = 139894233248. Its totient is φ = 15206776704.

The previous prime is 49556450267. The next prime is 49556450309. The reversal of 49556450268 is 86205465594.

49556450268 is a `hidden beast` number, since 4 + 9 + 5 + 564 + 50 + 26 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49556450267) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1555305 + ... + 1586847.

Almost surely, 249556450268 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 49556450268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69947116624).

49556450268 is an abundant number, since it is smaller than the sum of its proper divisors (90337782980).

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

49556450268 is a wasteful number, since it uses less digits than its factorization.

49556450268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31945 (or 31934 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 49556450268 in words is "forty-nine billion, five hundred fifty-six million, four hundred fifty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 373 468 702 746 1053 1119 1404 1492 2106 2238 3357 4212 4476 4849 6714 9698 10071 13428 14547 19396 20142 29094 30213 31543 40284 43641 58188 60426 63086 87282 94629 120852 126172 130923 174564 189258 261846 283887 378516 392769 410059 523692 567774 785538 820118 851661 1135548 1230177 1571076 1640236 1703322 2460354 2554983 3406644 3690531 4920708 5109966 7381062 10219932 11071593 11765539 14762124 22143186 23531078 33214779 35296617 44286372 47062156 66429558 70593234 105889851 132859116 141186468 152952007 211779702 305904014 317669553 423559404 458856021 611808028 635339106 917712042 953008659 1270678212 1376568063 1835424084 1906017318 2753136126 3812034636 4129704189 5506272252 8259408378 12389112567 16518816756 24778225134 49556450268