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948422934864 = 2432416719112553
BaseRepresentation
bin11011100110100100110…
…10011000000101010000
310100200001020002001012100
431303102122120011100
5111014332232403424
62003411031000400
7125343542634516
oct15632232300520
93320036061170
10948422934864
11336251026529
12133988b09100
136b5888932a2
1433c924b24b6
1519a0d702dc9
hexdcd2698150

948422934864 has 240 divisors, whose sum is σ = 2774256436224. Its totient is φ = 302211993600.

The previous prime is 948422934847. The next prime is 948422934911. The reversal of 948422934864 is 468439224849.

948422934864 is a `hidden beast` number, since 9 + 4 + 8 + 4 + 229 + 348 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 75547212 + ... + 75559764.

Almost surely, 2948422934864 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 948422934864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387128218112).

948422934864 is an abundant number, since it is smaller than the sum of its proper divisors (1825833501360).

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

948422934864 is a wasteful number, since it uses less digits than its factorization.

948422934864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12857 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 948422934864 in words is "nine hundred forty-eight billion, four hundred twenty-two million, nine hundred thirty-four thousand, eight hundred sixty-four".