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10334852820 = 2232557415849
BaseRepresentation
bin10011010000000000…
…10101011011010100
3222200020211220211200
421220000111123110
5132131210242240
64425303432500
7514051541145
oct115000253324
928606756750
1010334852820
114423833986
122005155730
13c8919c036
14700809acc
154074a3930
hex2680156d4

10334852820 has 36 divisors (see below), whose sum is σ = 31349054100. Its totient is φ = 2755960704.

The previous prime is 10334852813. The next prime is 10334852893. The reversal of 10334852820 is 2825843301.

10334852820 is a `hidden beast` number, since 103 + 3 + 4 + 8 + 528 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7777123344 + 2557729476 = 88188^2 + 50574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×103348528202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28707745 + ... + 28708104.

Almost surely, 210334852820 is an apocalyptic number.

10334852820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334852820 is an abundant number, since it is smaller than the sum of its proper divisors (21014201280).

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

10334852820 is a wasteful number, since it uses less digits than its factorization.

10334852820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57415864 (or 57415859 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10334852820 in words is "ten billion, three hundred thirty-four million, eight hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 57415849 114831698 172247547 229663396 287079245 344495094 516742641 574158490 688990188 861237735 1033485282 1148316980 1722475470 2066970564 2583713205 3444950940 5167426410 10334852820