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10447031028 = 22371072933967
BaseRepresentation
bin10011011101011000…
…10000101011110100
3222222001221011102010
421232230100223310
5132343414443103
64444352044220
7516613204260
oct115654205364
928861834363
1010447031028
114481093045
122036833670
13ca64b7985
1471168b0a0
15412261903
hex26eb10af4

10447031028 has 96 divisors (see below), whose sum is σ = 28222193664. Its totient is φ = 2946135168.

The previous prime is 10447031027. The next prime is 10447031107. The reversal of 10447031028 is 82013074401.

10447031028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10447030986 and 10447031004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10447031027) by changing a digit.

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, 2631501 + ... + 2635467.

It is an arithmetic number, because the mean of its divisors is an integer number (293981184).

Almost surely, 210447031028 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 10447031028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111096832).

10447031028 is an abundant number, since it is smaller than the sum of its proper divisors (17775162636).

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

10447031028 is a wasteful number, since it uses less digits than its factorization.

10447031028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10447031028 in words is "ten billion, four hundred forty-seven million, thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 293 321 428 586 642 749 879 1172 1284 1498 1758 2051 2247 2996 3516 3967 4102 4494 6153 7934 8204 8988 11901 12306 15868 23802 24612 27769 31351 47604 55538 62702 83307 94053 111076 125404 166614 188106 219457 333228 376212 424469 438914 658371 848938 877828 1162331 1273407 1316742 1697876 2324662 2546814 2633484 2971283 3486993 4649324 5093628 5942566 6973986 8136317 8913849 11885132 13947972 16272634 17827698 24408951 32545268 35655396 48817902 97635804 124369417 248738834 373108251 497477668 746216502 870585919 1492433004 1741171838 2611757757 3482343676 5223515514 10447031028