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10216740252 = 2232953553933
BaseRepresentation
bin10011000001111011…
…10001010110011100
3222101000121011212010
421200331301112130
5131410441142002
64405444111220
7511115600505
oct114075612634
928330534763
1010216740252
1143730a1194
121b91695510
13c6a886244
146ccc61bac
153ebe2246c
hex260f7159c

10216740252 has 48 divisors (see below), whose sum is σ = 25126446240. Its totient is φ = 3226099968.

The previous prime is 10216740241. The next prime is 10216740253. The reversal of 10216740252 is 25204761201.

10216740252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216740253) 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 15 ways as a sum of consecutive naturals, for example, 258523 + ... + 295410.

It is an arithmetic number, because the mean of its divisors is an integer number (523467630).

Almost surely, 210216740252 is an apocalyptic number.

10216740252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10216740252 is an abundant number, since it is smaller than the sum of its proper divisors (14909705988).

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

10216740252 is a wasteful number, since it uses less digits than its factorization.

10216740252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554022 (or 554020 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 10216740252 in words is "ten billion, two hundred sixteen million, seven hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 9222 18444 553933 1107866 1661799 2215732 3323598 6647196 16064057 29358449 32128114 48192171 58716898 64256228 88075347 96384342 117433796 176150694 192768684 352301388 851395021 1702790042 2554185063 3405580084 5108370126 10216740252