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10430621256 = 23311233175419
BaseRepresentation
bin10011011011011011…
…01010011001001000
3222220221001110102210
421231231222121020
5132330214340011
64443004225120
7516323550336
oct115555523110
928827043383
1010430621256
1144728a5150
12203123b1a0
13ca2c90753
1470d418b56
15410abe6a6
hex26db6a648

10430621256 has 128 divisors (see below), whose sum is σ = 29783116800. Its totient is φ = 3013274880.

The previous prime is 10430621231. The next prime is 10430621287. The reversal of 10430621256 is 65212603401.

10430621256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104306212562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922115 + ... + 1927533.

It is an arithmetic number, because the mean of its divisors is an integer number (232680600).

Almost surely, 210430621256 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 10430621256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891558400).

10430621256 is an abundant number, since it is smaller than the sum of its proper divisors (19352495544).

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

10430621256 is a wasteful number, since it uses less digits than its factorization.

10430621256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10430621256 in words is "ten billion, four hundred thirty million, six hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 317 506 552 634 759 951 1012 1268 1518 1902 2024 2536 3036 3487 3804 5419 6072 6974 7291 7608 10461 10838 13948 14582 16257 20922 21676 21873 27896 29164 32514 41844 43352 43746 58328 59609 65028 80201 83688 87492 119218 124637 130056 160402 174984 178827 238436 240603 249274 320804 357654 373911 476872 481206 498548 641608 715308 747822 962412 997096 1371007 1430616 1495644 1717823 1924824 2742014 2991288 3435646 4113021 5153469 5484028 6871292 8226042 10306938 10968056 13742584 16452084 18896053 20613876 32904168 37792106 39509929 41227752 56688159 75584212 79019858 113376318 118529787 151168424 158039716 226752636 237059574 316079432 434609219 453505272 474119148 869218438 948238296 1303827657 1738436876 2607655314 3476873752 5215310628 10430621256