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104134217488 = 2472419317003
BaseRepresentation
bin110000011111011100…
…0100000111100010000
3100221210021220100110221
41200332320200330100
53201231324424423
6115501045402424
710344354146500
oct1407670407420
9327707810427
10104134217488
1140188061974
1218222409414
139a87195492
14507c151a00
152a97172e5d
hex183ee20f10

104134217488 has 60 divisors (see below), whose sum is σ = 235261348560. Its totient is φ = 44522296896.

The previous prime is 104134217423. The next prime is 104134217513. The reversal of 104134217488 is 884712431401.

104134217488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169995 + ... + 486997.

It is an arithmetic number, because the mean of its divisors is an integer number (3921022476).

Almost surely, 2104134217488 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 104134217488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117630674280).

104134217488 is an abundant number, since it is smaller than the sum of its proper divisors (131127131072).

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

104134217488 is a wasteful number, since it uses less digits than its factorization.

104134217488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317444 (or 317431 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

Adding to 104134217488 its reverse (884712431401), we get a palindrome (988846648889).

The spelling of 104134217488 in words is "one hundred four billion, one hundred thirty-four million, two hundred seventeen thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 419 784 838 1676 2933 3352 5866 6704 11732 20531 23464 41062 46928 82124 164248 317003 328496 634006 1268012 2219021 2536024 4438042 5072048 8876084 15533147 17752168 31066294 35504336 62132588 124265176 132824257 248530352 265648514 531297028 929769799 1062594056 1859539598 2125188112 3719079196 6508388593 7438158392 13016777186 14876316784 26033554372 52067108744 104134217488