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10369189424 = 2411293595659
BaseRepresentation
bin10011010100000110…
…10100011000110000
3222202122110101210202
421222003110120300
5132214003030144
64432531414332
7514646440646
oct115203243060
928678411722
1010369189424
114441156540
1220147543a8
13c93331b59
147051c7196
1540a4d764e
hex26a0d4630

10369189424 has 80 divisors (see below), whose sum is σ = 22739616000. Its totient is φ = 4537263360.

The previous prime is 10369189393. The next prime is 10369189459. The reversal of 10369189424 is 42498196301.

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 15 ways as a sum of consecutive naturals, for example, 1829507 + ... + 1835165.

It is an arithmetic number, because the mean of its divisors is an integer number (284245200).

Almost surely, 210369189424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10369189424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369808000).

10369189424 is an abundant number, since it is smaller than the sum of its proper divisors (12370426576).

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

10369189424 is a wasteful number, since it uses less digits than its factorization.

10369189424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 10369189424 in words is "ten billion, three hundred sixty-nine million, one hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 359 464 638 718 1276 1436 2552 2872 3949 5104 5659 5744 7898 10411 11318 15796 20822 22636 31592 41644 45272 62249 63184 83288 90544 114521 124498 164111 166576 229042 248996 328222 458084 497992 656444 916168 995984 1312888 1805221 1832336 2031581 2625776 3610442 4063162 7220884 8126324 14441768 16252648 22347391 28883536 32505296 44694782 58915849 89389564 117831698 178779128 235663396 357558256 471326792 648074339 942653584 1296148678 2592297356 5184594712 10369189424