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10224962941452 = 22375313735347491
BaseRepresentation
bin1001010011001010111101…
…0010001011001000001100
31100012111102020200202100220
42110302233102023020030
52320011211003111302
633425141053351340
72103505053655260
oct224625722131014
940174366622326
1010224962941452
11329242301a646
1211917bb498550
1359229610716c
14274c686ac0a0
1512ae94bb94bc
hex94caf48b20c

10224962941452 has 192 divisors, whose sum is σ = 28063677809664. Its totient is φ = 2837254717440.

The previous prime is 10224962941451. The next prime is 10224962941499. The reversal of 10224962941452 is 25414926942201.

It is a junction number, because it is equal to n+sod(n) for n = 10224962941395 and 10224962941404.

It is not an unprimeable number, because it can be changed into a prime (10224962941451) 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 63 ways as a sum of consecutive naturals, for example, 215279427 + ... + 215326917.

It is an arithmetic number, because the mean of its divisors is an integer number (146164988592).

Almost surely, 210224962941452 is an apocalyptic number.

10224962941452 is a gapful number since it is divisible by the number (12) 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 10224962941452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031838904832).

10224962941452 is an abundant number, since it is smaller than the sum of its proper divisors (17838714868212).

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

10224962941452 is a wasteful number, since it uses less digits than its factorization.

10224962941452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48048 (or 48046 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 10224962941452 in words is "ten trillion, two hundred twenty-four billion, nine hundred sixty-two million, nine hundred forty-one thousand, four hundred fifty-two".