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10328414490 = 234573174673
BaseRepresentation
bin10011001111001111…
…10001100100011010
3222122210201211010000
421213213301210122
5132123033230430
64424513433430
7513643034412
oct114747614432
928583654100
1010328414490
114420136749
122002b6b876
13c87a56684
146dda11642
15406b30e60
hex2679f191a

10328414490 has 80 divisors (see below), whose sum is σ = 28152557928. Its totient is φ = 2716498944.

The previous prime is 10328414461. The next prime is 10328414501. The reversal of 10328414490 is 9441482301.

It is a happy number.

10328414490 is a `hidden beast` number, since 103 + 28 + 41 + 4 + 490 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10216964241 + 111450249 = 101079^2 + 10557^2 .

It is a super-2 number, since 2×103284144902 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28207 + ... + 146466.

Almost surely, 210328414490 is an apocalyptic number.

10328414490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10328414490 is an abundant number, since it is smaller than the sum of its proper divisors (17824143438).

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

10328414490 is a wasteful number, since it uses less digits than its factorization.

10328414490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174765 (or 174756 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 10328414490 its reverse (9441482301), we get a palindrome (19769896791).

The spelling of 10328414490 in words is "ten billion, three hundred twenty-eight million, four hundred fourteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 365 405 438 657 730 810 1095 1314 1971 2190 3285 3942 5913 6570 9855 11826 19710 29565 59130 174673 349346 524019 873365 1048038 1572057 1746730 2620095 3144114 4716171 5240190 7860285 9432342 12751129 14148513 15720570 23580855 25502258 28297026 38253387 47161710 63755645 70742565 76506774 114760161 127511290 141485130 191266935 229520322 344280483 382533870 573800805 688560966 1032841449 1147601610 1721402415 2065682898 3442804830 5164207245 10328414490