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10434219975 = 325253874987
BaseRepresentation
bin10011011011110110…
…11000111111000111
3222221011211021221200
421231323120333013
5132332130014400
64443213313543
7516366256254
oct115573307707
928834737850
1010434219975
1144749329a3
1220324958b3
13ca395077a
1470dab442b
15411080b00
hex26ded8fc7

10434219975 has 36 divisors (see below), whose sum is σ = 19041488856. Its totient is φ = 5459912640.

The previous prime is 10434219967. The next prime is 10434219977. The reversal of 10434219975 is 57991243401.

It is not a de Polignac number, because 10434219975 - 23 = 10434219967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10434219975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434219977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 425569 + ... + 449418.

It is an arithmetic number, because the mean of its divisors is an integer number (528930246).

Almost surely, 210434219975 is an apocalyptic number.

10434219975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10434219975 is a deficient number, since it is larger than the sum of its proper divisors (8607268881).

10434219975 is a wasteful number, since it uses less digits than its factorization.

10434219975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875056 (or 875048 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10434219975 in words is "ten billion, four hundred thirty-four million, two hundred nineteen thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 2385 3975 11925 874987 2624961 4374935 7874883 13124805 21874675 39374415 46374311 65624025 139122933 196872075 231871555 417368799 695614665 1159357775 2086843995 3478073325 10434219975