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10047738582 = 2337174093823
BaseRepresentation
bin10010101101110010…
…00101001011010110
3221221020121000011000
421112321011023112
5131034210113312
64341005524130
7503664240330
oct112671051326
927836530130
1010047738582
114296760792
121b44b73646
13c4186345b
146b462c450
153dc18cadc
hex256e452d6

10047738582 has 128 divisors (see below), whose sum is σ = 27092275200. Its totient is φ = 2694601728.

The previous prime is 10047738559. The next prime is 10047738641. The reversal of 10047738582 is 28583774001.

10047738582 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 2×100477385822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2626323 + ... + 2630145.

It is an arithmetic number, because the mean of its divisors is an integer number (211658400).

Almost surely, 210047738582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10047738582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546137600).

10047738582 is an abundant number, since it is smaller than the sum of its proper divisors (17044536618).

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

10047738582 is a wasteful number, since it uses less digits than its factorization.

10047738582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10047738582 in words is "ten billion, forty-seven million, seven hundred thirty-eight thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 409 459 714 818 918 1071 1227 2142 2454 2863 3213 3681 3823 5726 6426 6953 7362 7646 8589 11043 11469 13906 17178 20859 22086 22938 25767 26761 34407 41718 48671 51534 53522 62577 64991 68814 77301 80283 97342 103221 125154 129982 146013 154602 160566 187731 194973 206442 240849 292026 375462 389946 438039 454937 481698 584919 722547 876078 909874 1169838 1314117 1364811 1445094 1563607 1754757 2628234 2729622 3127214 3509514 4094433 4690821 8188866 9381642 10945249 12283299 14072463 21890498 24566598 26581319 28144926 32835747 42217389 53162638 65671494 79743957 84434778 98507241 159487914 186069233 197014482 239231871 295521723 372138466 478463742 558207699 591043446 717695613 1116415398 1435391226 1674623097 3349246194 5023869291 10047738582