Search a number
-
+
48693191920 = 24547107127953
BaseRepresentation
bin101101010110010101…
…110010010011110000
311122200111211102221121
4231112111302103300
51244210424120140
634211440032024
73342443205442
oct552625622360
9148614742847
1048693191920
111971804587a
12952b302614
1347900bccc9
1424dcd5a492
1513eecac64a
hexb565724f0

48693191920 has 160 divisors (see below), whose sum is σ = 117743321088. Its totient is φ = 18716350464.

The previous prime is 48693191909. The next prime is 48693191927. The reversal of 48693191920 is 2919139684.

48693191920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48693191927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51094164 + ... + 51095116.

Almost surely, 248693191920 is an apocalyptic number.

48693191920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48693191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58871660544).

48693191920 is an abundant number, since it is smaller than the sum of its proper divisors (69050129168).

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

48693191920 is a wasteful number, since it uses less digits than its factorization.

48693191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 48693191920 in words is "forty-eight billion, six hundred ninety-three million, one hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 107 127 188 214 235 254 376 428 470 508 535 635 752 856 940 953 1016 1070 1270 1712 1880 1906 2032 2140 2540 3760 3812 4280 4765 5029 5080 5969 7624 8560 9530 10058 10160 11938 13589 15248 19060 20116 23876 25145 27178 29845 38120 40232 44791 47752 50290 54356 59690 67945 76240 80464 89582 95504 100580 101971 108712 119380 121031 135890 179164 201160 203942 217424 223955 238760 242062 271780 358328 402320 407884 447910 477520 484124 509855 543560 605155 638683 716656 815768 895820 968248 1019710 1087120 1210310 1277366 1631536 1791640 1936496 2039420 2420620 2554732 3193415 3583280 4078840 4792637 4841240 5109464 5688457 6386830 8157680 9585274 9682480 10218928 11376914 12773660 12950317 19170548 22753828 23963185 25547320 25900634 28442285 38341096 45507656 47926370 51094640 51801268 56884570 64751585 76682192 91015312 95852740 103602536 113769140 129503170 191705480 207205072 227538280 259006340 383410960 455076560 518012680 608664899 1036025360 1217329798 2434659596 3043324495 4869319192 6086648990 9738638384 12173297980 24346595960 48693191920