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103032623064 = 23371399438377
BaseRepresentation
bin101111111110100111…
…0010000111111011000
3100211221112001120000110
41133331032100333120
53142002322414224
6115155454404320
710305146563110
oct1377516207730
9324845046013
10103032623064
113a772258758
1217b755006a0
13993cba6b67
144db5b1a040
152a305c4929
hex17fd390fd8

103032623064 has 64 divisors (see below), whose sum is σ = 294590016000. Its totient is φ = 29416783104.

The previous prime is 103032623041. The next prime is 103032623069. The reversal of 103032623064 is 460326230301.

It is a super-5 number, since 5×1030326230645 (a number of 56 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032623069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15844 + ... + 454220.

It is an arithmetic number, because the mean of its divisors is an integer number (4602969000).

Almost surely, 2103032623064 is an apocalyptic number.

103032623064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103032623064 is an abundant number, since it is smaller than the sum of its proper divisors (191557392936).

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

103032623064 is a wasteful number, since it uses less digits than its factorization.

103032623064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439792 (or 439788 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 103032623064 its reverse (460326230301), we get a palindrome (563358853365).

The spelling of 103032623064 in words is "one hundred three billion, thirty-two million, six hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1399 2798 4197 5596 8394 9793 11192 16788 19586 29379 33576 39172 58758 78344 117516 235032 438377 876754 1315131 1753508 2630262 3068639 3507016 5260524 6137278 9205917 10521048 12274556 18411834 24549112 36823668 73647336 613289423 1226578846 1839868269 2453157692 3679736538 4293025961 4906315384 7359473076 8586051922 12879077883 14718946152 17172103844 25758155766 34344207688 51516311532 103032623064