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49766211312 = 2434139763697
BaseRepresentation
bin101110010110010011…
…000001111011110000
311202110021220110211120
4232112103001323300
51303410122230222
634510130342240
73411152550036
oct562623017360
9152407813746
1049766211312
111a118802164
12978a72a980
1349014b511c
1425a1674556
1514640b415c
hexb964c1ef0

49766211312 has 80 divisors (see below), whose sum is σ = 132032195232. Its totient is φ = 16143114240.

The previous prime is 49766211251. The next prime is 49766211323. The reversal of 49766211312 is 21311266794.

49766211312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×497662113122 (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 15 ways as a sum of consecutive naturals, for example, 749448 + ... + 813144.

Almost surely, 249766211312 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 49766211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66016097616).

49766211312 is an abundant number, since it is smaller than the sum of its proper divisors (82265983920).

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

49766211312 is a wasteful number, since it uses less digits than its factorization.

49766211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64146 (or 64140 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The spelling of 49766211312 in words is "forty-nine billion, seven hundred sixty-six million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 397 492 656 794 984 1191 1588 1968 2382 3176 4764 6352 9528 16277 19056 32554 48831 63697 65108 97662 127394 130216 191091 195324 254788 260432 382182 390648 509576 764364 781296 1019152 1528728 2611577 3057456 5223154 7834731 10446308 15669462 20892616 25287709 31338924 41785232 50575418 62677848 75863127 101150836 125355696 151726254 202301672 303452508 404603344 606905016 1036796069 1213810032 2073592138 3110388207 4147184276 6220776414 8294368552 12441552828 16588737104 24883105656 49766211312