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3480672254024 = 23779223342743
BaseRepresentation
bin110010101001101000001…
…110111011100001001000
3110022202020000220202121002
4302221220032323201020
5424011404044112044
611222555422034132
7506320206001010
oct62515016734110
913282200822532
103480672254024
111122165823599
124826b2118948
131c32c26493a4
14c0673228c40
156081864c74e
hex32a683bb848

3480672254024 has 96 divisors (see below), whose sum is σ = 7586789857920. Its totient is φ = 1466478703872.

The previous prime is 3480672254021. The next prime is 3480672254063. The reversal of 3480672254024 is 4204522760843.

It is a self number, because there is not a number n which added to its sum of digits gives 3480672254024.

It is not an unprimeable number, because it can be changed into a prime (3480672254021) 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, 81411197 + ... + 81453939.

It is an arithmetic number, because the mean of its divisors is an integer number (79029061020).

Almost surely, 23480672254024 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 3480672254024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793394928960).

3480672254024 is an abundant number, since it is smaller than the sum of its proper divisors (4106117603896).

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

3480672254024 is a wasteful number, since it uses less digits than its factorization.

3480672254024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43147 (or 43064 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 47.

The spelling of 3480672254024 in words is "three trillion, four hundred eighty billion, six hundred seventy-two million, two hundred fifty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 79 158 233 316 466 553 632 932 1106 1631 1864 2212 3262 4424 6241 6524 12482 13048 18407 24964 36814 42743 43687 49928 73628 85486 87374 128849 147256 170972 174748 257698 299201 341944 349496 515396 598402 1030792 1196804 1454153 2393608 2908306 3376697 5816612 6753394 9959119 10179071 11633224 13506788 19918238 20358142 23636879 27013576 39836476 40716284 47273758 69713833 79672952 81432568 94547516 139427666 189095032 266759063 278855332 533518126 557710664 786770401 1067036252 1573540802 1867313441 2134072504 3147081604 3734626882 5507392807 6294163208 7469253764 11014785614 14938507528 22029571228 44059142456 62154861679 124309723358 248619446716 435084031753 497238893432 870168063506 1740336127012 3480672254024