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10045098324 = 2232279030509
BaseRepresentation
bin10010101101011110…
…00000100101010100
3221221001121212101200
421112233000211110
5131033021121244
64340433152500
7503632632642
oct112657004524
927831555350
1010045098324
114295218058
121b440bb730
13c4114a781
146b4142192
153dbd1a669
hex256bc0954

10045098324 has 18 divisors (see below), whose sum is σ = 25391776410. Its totient is φ = 3348366096.

The previous prime is 10045098317. The next prime is 10045098331. The reversal of 10045098324 is 42389054001.

10045098324 is a `hidden beast` number, since 100 + 450 + 9 + 83 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (10045098317) and next prime (10045098331).

It can be written as a sum of positive squares in only one way, i.e., 8962030224 + 1083068100 = 94668^2 + 32910^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 279030509 = 10045098324 / (1 + 0 + 0 + 4 + 5 + 0 + 9 + 8 + 3 + 2 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139515219 + ... + 139515290.

It is an arithmetic number, because the mean of its divisors is an integer number (1410654245).

Almost surely, 210045098324 is an apocalyptic number.

It is an amenable number.

10045098324 is an abundant number, since it is smaller than the sum of its proper divisors (15346678086).

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

10045098324 is a wasteful number, since it uses less digits than its factorization.

10045098324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279030519 (or 279030514 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10045098324 in words is "ten billion, forty-five million, ninety-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 279030509 558061018 837091527 1116122036 1674183054 2511274581 3348366108 5022549162 10045098324