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20246128512 = 273172241757
BaseRepresentation
bin10010110110110000…
…110110011110000000
31221020222122220002120
4102312300312132000
5312431002103022
613145000444240
71314501152511
oct226660663600
957228586076
1020246128512
11864a459015
123b10479680
131ba86930cc
14da0c74a08
157d7687d5c
hex4b6c36780

20246128512 has 192 divisors, whose sum is σ = 57441149040. Its totient is φ = 6317015040.

The previous prime is 20246128501. The next prime is 20246128517. The reversal of 20246128512 is 21582164202.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×202461285123 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20246128517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26744838 + ... + 26745594.

Almost surely, 220246128512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20246128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28720574520).

20246128512 is an abundant number, since it is smaller than the sum of its proper divisors (37195020528).

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

20246128512 is a wasteful number, since it uses less digits than its factorization.

20246128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 20246128512 in words is "twenty billion, two hundred forty-six million, one hundred twenty-eight thousand, five hundred twelve".