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10214269524 = 2232283729709
BaseRepresentation
bin10011000001101000…
…10110001001010100
3222100211221122122200
421200310112021110
5131404323111044
64405315124500
7511055600304
oct114064261124
928324848580
1010214269524
114371763968
121b908a3730
13c6a1cc784
146cc7bb604
153ebad5369
hex260d16254

10214269524 has 18 divisors (see below), whose sum is σ = 25819403610. Its totient is φ = 3404756496.

The previous prime is 10214269397. The next prime is 10214269547. The reversal of 10214269524 is 42596241201.

It is a happy number.

10214269524 is a `hidden beast` number, since 10 + 21 + 42 + 69 + 524 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5605217424 + 4609052100 = 74868^2 + 67890^2 .

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: 283729709 = 10214269524 / (1 + 0 + 2 + 1 + 4 + 2 + 6 + 9 + 5 + 2 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141864819 + ... + 141864890.

Almost surely, 210214269524 is an apocalyptic number.

It is an amenable number.

10214269524 is an abundant number, since it is smaller than the sum of its proper divisors (15605134086).

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

10214269524 is a wasteful number, since it uses less digits than its factorization.

10214269524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283729719 (or 283729714 counting only the distinct ones).

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

The spelling of 10214269524 in words is "ten billion, two hundred fourteen million, two hundred sixty-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 283729709 567459418 851189127 1134918836 1702378254 2553567381 3404756508 5107134762 10214269524