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10242026817 = 3111953893463
BaseRepresentation
bin10011000100111100…
…01110110101000001
3222102210011212111120
421202132032311001
5131433424324232
64412150102453
7511543535331
oct114236166501
928383155446
1010242026817
1143863a2380
121b9a04aa29
13c72b9a9c9
146d23650c1
153ee26992c
hex26278ed41

10242026817 has 64 divisors (see below), whose sum is σ = 16161638400. Its totient is φ = 5703160320.

The previous prime is 10242026813. The next prime is 10242026849. The reversal of 10242026817 is 71862024201.

It is not a de Polignac number, because 10242026817 - 22 = 10242026813 is a prime.

It is a super-2 number, since 2×102420268172 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10242026813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2955828 + ... + 2959290.

It is an arithmetic number, because the mean of its divisors is an integer number (252525600).

Almost surely, 210242026817 is an apocalyptic number.

It is an amenable number.

10242026817 is a deficient number, since it is larger than the sum of its proper divisors (5919611583).

10242026817 is a wasteful number, since it uses less digits than its factorization.

10242026817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638.

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10242026817 in words is "ten billion, two hundred forty-two million, twenty-six thousand, eight hundred seventeen".

Divisors: 1 3 11 19 33 53 57 89 159 209 267 583 627 979 1007 1691 1749 2937 3021 3463 4717 5073 10389 11077 14151 18601 33231 38093 51887 55803 65797 89623 114279 155661 183539 197391 268869 308207 550617 723767 924621 985853 2018929 2171301 2957559 3390277 3487241 5855933 6056787 10170831 10461723 16334971 17567799 38359651 49004913 64415263 115078953 179684681 193245789 310364449 539054043 931093347 3414008939 10242026817