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10880126064 = 243416215179
BaseRepresentation
bin10100010001000000…
…11000110001110000
31001002020212200010000
422020200120301300
5134240303013224
64555342510000
7533422355103
oct121040306160
931066780100
1010880126064
114683602825
122137895300
131045145c22
14752dc873a
1543a2b10c9
hex288818c70

10880126064 has 100 divisors (see below), whose sum is σ = 31515751960. Its totient is φ = 3623771520.

The previous prime is 10880126063. The next prime is 10880126077. The reversal of 10880126064 is 46062108801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880126063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2098227 + ... + 2103405.

Almost surely, 210880126064 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 10880126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757875980).

10880126064 is an abundant number, since it is smaller than the sum of its proper divisors (20635625896).

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

10880126064 is a wasteful number, since it uses less digits than its factorization.

10880126064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10880126064 in words is "ten billion, eight hundred eighty million, one hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1621 3242 4863 5179 6484 9726 10358 12968 14589 15537 19452 20716 25936 29178 31074 38904 41432 43767 46611 58356 62148 77808 82864 87534 93222 116712 124296 131301 139833 175068 186444 233424 248592 262602 279666 350136 372888 419499 525204 559332 700272 745776 838998 1050408 1118664 1677996 2100816 2237328 3355992 6711984 8395159 16790318 25185477 33580636 50370954 67161272 75556431 100741908 134322544 151112862 201483816 226669293 302225724 402967632 453338586 604451448 680007879 906677172 1208902896 1360015758 1813354344 2720031516 3626708688 5440063032 10880126064