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104277930148 = 22753359195733
BaseRepresentation
bin110000100011101110…
…0101111000010100100
3100222011022022201012001
41201013130233002210
53202030122231043
6115523221535044
710351050532030
oct1410734570244
9328138281161
10104277930148
114025119a367
1218262574484
139aaaba2662
1450932811c0
152aa4aae74d
hex184772f0a4

104277930148 has 48 divisors (see below), whose sum is σ = 213083861760. Its totient is φ = 43724962944.

The previous prime is 104277930143. The next prime is 104277930161. The reversal of 104277930148 is 841039772401.

It is a junction number, because it is equal to n+sod(n) for n = 104277930098 and 104277930107.

It is not an unprimeable number, because it can be changed into a prime (104277930143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434890 + ... + 630622.

It is an arithmetic number, because the mean of its divisors is an integer number (4439247120).

Almost surely, 2104277930148 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 104277930148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106541930880).

104277930148 is an abundant number, since it is smaller than the sum of its proper divisors (108805931612).

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

104277930148 is a wasteful number, since it uses less digits than its factorization.

104277930148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196156 (or 196154 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 104277930148 in words is "one hundred four billion, two hundred seventy-seven million, nine hundred thirty thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 53 106 212 359 371 718 742 1436 1484 2513 5026 10052 19027 38054 76108 133189 195733 266378 391466 532756 782932 1370131 2740262 5480524 10373849 20747698 41495396 70268147 72616943 140536294 145233886 281072588 290467772 491877029 983754058 1967508116 3724211791 7448423582 14896847164 26069482537 52138965074 104277930148