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20278209952 = 25711213219233
BaseRepresentation
bin10010111000101011…
…001110110110100000
31221100020000210120001
4102320223032312200
5313012210204302
613152104225344
71315340640430
oct227053166640
957306023501
1020278209952
118666580300
123b1b16b254
131bb2216600
14da52262c0
157da3c3787
hex4b8aceda0

20278209952 has 432 divisors, whose sum is σ = 57408886080. Its totient is φ = 6879375360.

The previous prime is 20278209949. The next prime is 20278209983. The reversal of 20278209952 is 25990287202.

It is a super-2 number, since 2×202782099522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 87030828 + ... + 87031060.

It is an arithmetic number, because the mean of its divisors is an integer number (132890940).

Almost surely, 220278209952 is an apocalyptic number.

20278209952 is a gapful number since it is divisible by the number (22) 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 20278209952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28704443040).

20278209952 is an abundant number, since it is smaller than the sum of its proper divisors (37130676128).

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

20278209952 is a wasteful number, since it uses less digits than its factorization.

20278209952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 20278209952 in words is "twenty billion, two hundred seventy-eight million, two hundred nine thousand, nine hundred fifty-two".