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104135181048 = 233229186726713
BaseRepresentation
bin110000011111011110…
…0001100001011111000
3100221210100201022020100
41200332330030023320
53201232101243143
6115501122155400
710344365301633
oct1407674141370
9327710638210
10104135181048
114018865a8a8
12182227b2b60
139a87441c32
14507c322c1a
152a972b36d3
hex183ef0c2f8

104135181048 has 96 divisors (see below), whose sum is σ = 291925249200. Its totient is φ = 33495565824.

The previous prime is 104135181047. The next prime is 104135181053. The reversal of 104135181048 is 840181531401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104135181047) 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 23 ways as a sum of consecutive naturals, for example, 3884940 + ... + 3911652.

Almost surely, 2104135181048 is an apocalyptic number.

104135181048 is a gapful number since it is divisible by the number (18) 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 104135181048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145962624600).

104135181048 is an abundant number, since it is smaller than the sum of its proper divisors (187790068152).

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

104135181048 is a wasteful number, since it uses less digits than its factorization.

104135181048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28621 (or 28614 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 104135181048 in words is "one hundred four billion, one hundred thirty-five million, one hundred eighty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1867 2088 3734 5601 7468 11202 14936 16803 22404 26713 33606 44808 53426 54143 67212 80139 106852 108286 134424 160278 162429 213704 216572 240417 320556 324858 433144 480834 487287 641112 649716 774677 961668 974574 1299432 1549354 1923336 1949148 2324031 3098708 3898296 4648062 6197416 6972093 9296124 13944186 18592248 27888372 49873171 55776744 99746342 149619513 199492684 299239026 398985368 448858539 598478052 897717078 1196956104 1446321959 1795434156 2892643918 3590868312 4338965877 5785287836 8677931754 11570575672 13016897631 17355863508 26033795262 34711727016 52067590524 104135181048