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10544062020 = 2235678233187
BaseRepresentation
bin10011101000111100…
…11001111001000100
31000012211111211220120
421310132121321010
5133043234441040
64502135501540
7522202022412
oct116436317104
930184454816
1010544062020
114520936948
1220632278b0
13cc062bc6b
147205082b2
1541aa2b7d0
hex274799e44

10544062020 has 96 divisors (see below), whose sum is σ = 30009842688. Its totient is φ = 2765549952.

The previous prime is 10544062007. The next prime is 10544062021. The reversal of 10544062020 is 2026044501.

10544062020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105440620202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10544062021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3306867 + ... + 3310053.

It is an arithmetic number, because the mean of its divisors is an integer number (312602528).

Almost surely, 210544062020 is an apocalyptic number.

10544062020 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 10544062020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004921344).

10544062020 is an abundant number, since it is smaller than the sum of its proper divisors (19465780668).

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

10544062020 is a wasteful number, since it uses less digits than its factorization.

10544062020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 10544062020 in words is "ten billion, five hundred forty-four million, sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 823 1005 1340 1646 2010 2469 3187 3292 4020 4115 4938 6374 8230 9561 9876 12345 12748 15935 16460 19122 24690 31870 38244 47805 49380 55141 63740 95610 110282 165423 191220 213529 220564 275705 330846 427058 551410 640587 661692 827115 854116 1067645 1102820 1281174 1654230 2135290 2562348 2622901 3202935 3308460 4270580 5245802 6405870 7868703 10491604 12811740 13114505 15737406 26229010 31474812 39343515 52458020 78687030 157374060 175734367 351468734 527203101 702937468 878671835 1054406202 1757343670 2108812404 2636015505 3514687340 5272031010 10544062020