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56470105692 = 2233711132292281
BaseRepresentation
bin110100100101111000…
…010110111001011100
312101202111110121002000
4310211320112321130
51411122321340232
641535250202300
74036244656440
oct644570267134
9171674417060
1056470105692
1121a489a2240
12ab3b883390
13542c354a30
142a39b52820
1517078dd27c
hexd25e16e5c

56470105692 has 384 divisors, whose sum is σ = 197515315200. Its totient is φ = 13474252800.

The previous prime is 56470105687. The next prime is 56470105693. The reversal of 56470105692 is 29650107465.

56470105692 is a `hidden beast` number, since 5 + 6 + 4 + 70 + 10 + 569 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56470105693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24755592 + ... + 24757872.

It is an arithmetic number, because the mean of its divisors is an integer number (514362800).

Almost surely, 256470105692 is an apocalyptic number.

56470105692 is a gapful number since it is divisible by the number (52) 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 56470105692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98757657600).

56470105692 is an abundant number, since it is smaller than the sum of its proper divisors (141045209508).

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

56470105692 is a wasteful number, since it uses less digits than its factorization.

56470105692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56470105692 in words is "fifty-six billion, four hundred seventy million, one hundred five thousand, six hundred ninety-two".