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10922427648 = 28321117101251
BaseRepresentation
bin10100010110000011…
…10000010100000000
31001012012110210222100
422023001300110000
5134332120141043
65003453310400
7534445050246
oct121301602400
931165423870
1010922427648
1146a5475610
122149a95400
131050b37252
1475887a796
1543dd69cd3
hex28b070500

10922427648 has 432 divisors, whose sum is σ = 36882361152. Its totient is φ = 3072000000.

The previous prime is 10922427643. The next prime is 10922427653. The reversal of 10922427648 is 84672422901.

It is an interprime number because it is at equal distance from previous prime (10922427643) and next prime (10922427653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10922427643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43515523 + ... + 43515773.

It is an arithmetic number, because the mean of its divisors is an integer number (85375836).

Almost surely, 210922427648 is an apocalyptic number.

10922427648 is a gapful number since it is divisible by the number (18) 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 10922427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441180576).

10922427648 is an abundant number, since it is smaller than the sum of its proper divisors (25959933504).

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

10922427648 is a wasteful number, since it uses less digits than its factorization.

10922427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10922427648 in words is "ten billion, nine hundred twenty-two million, four hundred twenty-seven thousand, six hundred forty-eight".