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10126938459 = 31119412111867
BaseRepresentation
bin10010110111001110…
…01101000101011011
3222010202121202221210
421123213031011123
5131214444012314
64352515234203
7505645361631
oct113347150533
928122552853
1010126938459
114327435830
121b675a8963
13c550a35a1
146c0d67351
153e40d4559
hex25b9cd15b

10126938459 has 64 divisors (see below), whose sum is σ = 15967365120. Its totient is φ = 5642784000.

The previous prime is 10126938457. The next prime is 10126938509. The reversal of 10126938459 is 95483962101.

It is not a de Polignac number, because 10126938459 - 21 = 10126938457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10126938457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5423244 + ... + 5425110.

It is an arithmetic number, because the mean of its divisors is an integer number (249490080).

Almost surely, 210126938459 is an apocalyptic number.

10126938459 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10126938459 is a deficient number, since it is larger than the sum of its proper divisors (5840426661).

10126938459 is a wasteful number, since it uses less digits than its factorization.

10126938459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152.

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 10126938459 in words is "ten billion, one hundred twenty-six million, nine hundred thirty-eight thousand, four hundred fifty-nine".

Divisors: 1 3 11 19 33 41 57 123 209 211 451 627 633 779 1353 1867 2321 2337 4009 5601 6963 8569 8651 12027 20537 25707 25953 35473 44099 61611 76547 95161 106419 132297 164369 229641 285483 390203 393937 493107 842017 1170609 1181811 1454393 1808059 2526051 4333307 4363179 5424177 7484803 12999921 15998323 16151417 22454409 47994969 48454251 82332833 177665587 246998499 306876923 532996761 920630769 3375646153 10126938459