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10854122480 = 245831634657
BaseRepresentation
bin10100001101111010…
…01100001111110000
31001000102221112220022
422012331030033300
5134212123404410
64553013303012
7532655342645
oct120675141760
931012845808
1010854122480
11466a961963
12212b034a68
13103c93cca6
1474d779dcc
15437d76455
hex286f4c3f0

10854122480 has 40 divisors (see below), whose sum is σ = 25539896592. Its totient is φ = 4289337344.

The previous prime is 10854122449. The next prime is 10854122509. The reversal of 10854122480 is 8422145801.

10854122480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10854122480.

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 7 ways as a sum of consecutive naturals, for example, 810689 + ... + 823968.

Almost surely, 210854122480 is an apocalyptic number.

10854122480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10854122480 is an abundant number, since it is smaller than the sum of its proper divisors (14685774112).

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

10854122480 is a wasteful number, since it uses less digits than its factorization.

10854122480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634753 (or 1634747 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 10854122480 in words is "ten billion, eight hundred fifty-four million, one hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 1634657 3269314 6538628 8173285 13077256 16346570 26154512 32693140 65386280 130772560 135676531 271353062 542706124 678382655 1085412248 1356765310 2170824496 2713530620 5427061240 10854122480