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7345441125 = 335311217987
BaseRepresentation
bin1101101011101001…
…01000100101100101
3200221220202001221000
412311310220211211
5110020413104000
63212514143513
7350012135151
oct66564504545
920856661830
107345441125
11312a345700
12150bb81b99
13900a54089
144d979c061
152ced02000
hex1b5d28965

7345441125 has 96 divisors (see below), whose sum is σ = 14928600960. Its totient is φ = 3561228000.

The previous prime is 7345441099. The next prime is 7345441133. The reversal of 7345441125 is 5211445437.

It is not a de Polignac number, because 7345441125 - 27 = 7345440997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7345441125.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 399382 + ... + 417368.

It is an arithmetic number, because the mean of its divisors is an integer number (155506260).

Almost surely, 27345441125 is an apocalyptic number.

7345441125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7345441125 is an abundant number, since it is smaller than the sum of its proper divisors (7583159835).

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

7345441125 is a wasteful number, since it uses less digits than its factorization.

7345441125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18033 (or 18006 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 7345441125 is about 85705.5489743809. The cubic root of 7345441125 is about 1943.8942153038.

The spelling of 7345441125 in words is "seven billion, three hundred forty-five million, four hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 121 125 135 165 225 275 297 363 375 495 605 675 825 1089 1125 1375 1485 1815 2475 3025 3267 3375 4125 5445 7425 9075 12375 15125 16335 17987 27225 37125 45375 53961 81675 89935 136125 161883 197857 269805 408375 449675 485649 593571 809415 989285 1349025 1780713 2176427 2248375 2428245 2967855 4047075 4946425 5342139 6529281 6745125 8903565 10882135 12141225 14839275 19587843 20235375 24732125 26710695 32646405 44517825 54410675 58763529 60706125 74196375 97939215 133553475 163232025 222589125 272053375 293817645 489696075 667767375 816160125 1469088225 2448480375 7345441125