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10248092424 = 2332142334617
BaseRepresentation
bin10011000101101010…
…10111101100001000
3222110012121000221200
421202311113230020
5131442002424144
64412524104200
7511646230323
oct114265275410
928405530850
1010248092424
114389865579
121ba0095060
13c7421281b
146d30a37ba
153eea66c69
hex262d57b08

10248092424 has 24 divisors (see below), whose sum is σ = 27755250510. Its totient is φ = 3416030784.

The previous prime is 10248092383. The next prime is 10248092443. The reversal of 10248092424 is 42429084201.

10248092424 is a `hidden beast` number, since 102 + 48 + 0 + 92 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9038304900 + 1209787524 = 95070^2 + 34782^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×102480924243 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 71167237 + ... + 71167380.

Almost surely, 210248092424 is an apocalyptic number.

It is an amenable number.

10248092424 is an abundant number, since it is smaller than the sum of its proper divisors (17507158086).

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

10248092424 is a wasteful number, since it uses less digits than its factorization.

10248092424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142334629 (or 142334622 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10248092424 in words is "ten billion, two hundred forty-eight million, ninety-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 142334617 284669234 427003851 569338468 854007702 1138676936 1281011553 1708015404 2562023106 3416030808 5124046212 10248092424