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148048890462 = 232111316199221
BaseRepresentation
bin1000100111100001100…
…1101100101001011110
3112011010210002212202100
42021320121230221132
54411201003443322
6152002425305530
713460534543154
oct2117031545136
9464123085670
10148048890462
1157872814730
12248393352a6
1310c65292485
1472465c13d4
153cb7677dac
hex227866ca5e

148048890462 has 96 divisors (see below), whose sum is σ = 353212928640. Its totient is φ = 44444088000.

The previous prime is 148048890449. The next prime is 148048890469. The reversal of 148048890462 is 264098840841.

It is a happy number.

148048890462 is a `hidden beast` number, since 1 + 480 + 48 + 89 + 0 + 46 + 2 = 666.

148048890462 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 = 148048890399 and 148048890408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148048890469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16051012 + ... + 16060232.

It is an arithmetic number, because the mean of its divisors is an integer number (3679301340).

Almost surely, 2148048890462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148048890462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176606464320).

148048890462 is an abundant number, since it is smaller than the sum of its proper divisors (205164038178).

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

148048890462 is a wasteful number, since it uses less digits than its factorization.

148048890462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 148048890462 in words is "one hundred forty-eight billion, forty-eight million, eight hundred ninety thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 619 786 1179 1238 1441 1857 2358 2882 3714 4323 5571 6809 8646 9221 11142 12969 13618 18442 20427 25938 27663 40854 55326 61281 81089 82989 101431 122562 162178 165978 202862 243267 304293 486534 608586 729801 891979 912879 1207951 1459602 1783958 1825758 2415902 2675937 3623853 5351874 5707799 7247706 8027811 10871559 11415598 13287461 16055622 17123397 21743118 26574922 34246794 39862383 51370191 62785789 79724766 102740382 119587149 125571578 188357367 239174298 376714734 565072101 747721669 1130144202 1495443338 2243165007 4486330014 6729495021 8224938359 13458990042 16449876718 24674815077 49349630154 74024445231 148048890462