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10212809856 = 27337718807
BaseRepresentation
bin10011000001011101…
…10001110010000000
3222100202012111100220
421200232301302000
5131403434403411
64405223543040
7511040310564
oct114056616200
928322174326
1010212809856
114370957227
121b902baa80
13c69b0b272
146cc51b6a4
153eb8e7b06
hex260bb1c80

10212809856 has 64 divisors (see below), whose sum is σ = 27860998080. Its totient is φ = 3312258048.

The previous prime is 10212809851. The next prime is 10212809861. The reversal of 10212809856 is 65890821201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10212809851) and next prime (10212809861).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10212809851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345196 + ... + 373611.

It is an arithmetic number, because the mean of its divisors is an integer number (435328095).

Almost surely, 210212809856 is an apocalyptic number.

10212809856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10212809856 is an abundant number, since it is smaller than the sum of its proper divisors (17648188224).

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

10212809856 is an equidigital number, since it uses as much as digits as its factorization.

10212809856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718861 (or 718849 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 10212809856 in words is "ten billion, two hundred twelve million, eight hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 718807 1437614 2156421 2875228 4312842 5750456 8625684 11500912 17251368 23001824 26595859 34502736 46003648 53191718 69005472 79787577 92007296 106383436 138010944 159575154 212766872 276021888 319150308 425533744 638300616 851067488 1276601232 1702134976 2553202464 3404269952 5106404928 10212809856