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49342131048 = 23371034795953
BaseRepresentation
bin101101111101000001…
…010010101101101000
311201100201220222002010
4231331001102231220
51302023041143143
634400101035520
73364513123320
oct557501225550
9151321828063
1049342131048
1119a2038a401
1296906b5ba0
134864692162
142561202280
15143bc45a33
hexb7d052b68

49342131048 has 128 divisors (see below), whose sum is σ = 142667366400. Its totient is φ = 13929394176.

The previous prime is 49342131043. The next prime is 49342131061. The reversal of 49342131048 is 84013124394.

49342131048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49342130997 and 49342131015.

It is not an unprimeable number, because it can be changed into a prime (49342131043) 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, 8285640 + ... + 8291592.

It is an arithmetic number, because the mean of its divisors is an integer number (1114588800).

Almost surely, 249342131048 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 49342131048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71333683200).

49342131048 is an abundant number, since it is smaller than the sum of its proper divisors (93325235352).

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

49342131048 is a wasteful number, since it uses less digits than its factorization.

49342131048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 49342131048 in words is "forty-nine billion, three hundred forty-two million, one hundred thirty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 479 618 721 824 958 1236 1437 1442 1916 2163 2472 2874 2884 3353 3832 4326 5748 5768 5953 6706 8652 10059 11496 11906 13412 17304 17859 20118 23812 26824 35718 40236 41671 47624 49337 71436 80472 83342 98674 125013 142872 148011 166684 197348 250026 296022 333368 345359 394696 500052 592044 613159 690718 1000104 1036077 1184088 1226318 1381436 1839477 2072154 2452636 2762872 2851487 3678954 4144308 4292113 4905272 5702974 7357908 8288616 8554461 8584226 11405948 12876339 14715816 17108922 17168452 19960409 22811896 25752678 34217844 34336904 39920818 51505356 59881227 68435688 79841636 103010712 119762454 159683272 239524908 293703161 479049816 587406322 881109483 1174812644 1762218966 2055922127 2349625288 3524437932 4111844254 6167766381 7048875864 8223688508 12335532762 16447377016 24671065524 49342131048