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10466501340 = 22351377391723
BaseRepresentation
bin10011011111101101…
…00010001011011100
31000000102120100122210
421233312202023130
5132413411020330
64450325240420
7520240536111
oct115766421334
930012510583
1010466501340
114491081409
122041263110
13caa543c79
147140b8908
15413d0a8b0
hex26fda22dc

10466501340 has 96 divisors (see below), whose sum is σ = 29577219840. Its totient is φ = 2765339136.

The previous prime is 10466501317. The next prime is 10466501341. The reversal of 10466501340 is 4310566401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10466501298 and 10466501307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466501341) 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 31 ways as a sum of consecutive naturals, for example, 6073719 + ... + 6075441.

It is an arithmetic number, because the mean of its divisors is an integer number (308096040).

Almost surely, 210466501340 is an apocalyptic number.

10466501340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788609920).

10466501340 is an abundant number, since it is smaller than the sum of its proper divisors (19110718500).

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

10466501340 is a wasteful number, since it uses less digits than its factorization.

10466501340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10466501340 in words is "ten billion, four hundred sixty-six million, five hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 739 822 1370 1478 1644 1723 2055 2217 2740 2956 3446 3695 4110 4434 5169 6892 7390 8220 8615 8868 10338 11085 14780 17230 20676 22170 25845 34460 44340 51690 101243 103380 202486 236051 303729 404972 472102 506215 607458 708153 944204 1012430 1180255 1214916 1273297 1416306 1518645 2024860 2360510 2546594 2832612 3037290 3540765 3819891 4721020 5093188 6074580 6366485 7081530 7639782 12732970 14163060 15279564 19099455 25465940 38198910 76397820 174441689 348883378 523325067 697766756 872208445 1046650134 1744416890 2093300268 2616625335 3488833780 5233250670 10466501340