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3902335145928 = 2332192122532
BaseRepresentation
bin111000110010010101010…
…011001101011111001000
3111211001121110001001200200
4320302111103031133020
51002413440244132203
612144412533132200
7551635334306202
oct70622523153710
914731543031620
103902335145928
111274a7550223a
1253037018a060
13223cb101845b
14d6c34499772
156b796c859a3
hex38c954cd7c8

3902335145928 has 108 divisors (see below), whose sum is σ = 11155265199585. Its totient is φ = 1232215789248.

The previous prime is 3902335145921. The next prime is 3902335145957. The reversal of 3902335145928 is 8295415332093.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3902335145928 is a `hidden beast` number, since 3 + 9 + 0 + 2 + 3 + 35 + 14 + 592 + 8 = 666.

3902335145928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3901723177284 + 611968644 = 1975278^2 + 24738^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1396842.

It is a super-2 number, since 2×39023351459282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3902335145921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 318473850 + ... + 318486102.

Almost surely, 23902335145928 is an apocalyptic number.

3902335145928 is a gapful number since it is divisible by the number (38) 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 3902335145928

3902335145928 is an abundant number, since it is smaller than the sum of its proper divisors (7252930053657).

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

3902335145928 is an equidigital number, since it uses as much as digits as its factorization.

3902335145928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24556 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 3902335145928 in words is "three trillion, nine hundred two billion, three hundred thirty-five million, one hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12253 12996 24506 25992 36759 49012 73518 98024 110277 147036 220554 232807 294072 441108 465614 698421 882216 931228 1396842 1862456 2095263 2793684 4190526 4423333 5587368 8381052 8846666 13269999 16762104 17693332 26539998 35386664 39809997 53079996 79619994 106159992 150136009 159239988 300272018 318479976 450408027 600544036 900816054 1201088072 1351224081 1801632108 2702448162 2852584171 3603264216 5404896324 5705168342 8557752513 10809792648 11410336684 17115505026 22820673368 25673257539 34231010052 51346515078 54199099249 68462020104 102693030156 108398198498 162597297747 205386060312 216796396996 325194595494 433592793992 487791893241 650389190988 975583786482 1300778381976 1951167572964 3902335145928