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42722271680 = 26511127227421
BaseRepresentation
bin100111110010011100…
…100010000111000000
311002021101111021012112
4213302130202013000
51144443400143210
631343142314452
73041461213634
oct476234420700
9132241437175
1042722271680
1117133677050
128343728a28
13404b0663ca
1420d3d5adc4
1511a09bad05
hex9f27221c0

42722271680 has 224 divisors, whose sum is σ = 112614285312. Its totient is φ = 15308697600.

The previous prime is 42722271673. The next prime is 42722271701. The reversal of 42722271680 is 8617222724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101477870 + ... + 101478290.

Almost surely, 242722271680 is an apocalyptic number.

42722271680 is a gapful number since it is divisible by the number (40) 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 42722271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56307142656).

42722271680 is an abundant number, since it is smaller than the sum of its proper divisors (69892013632).

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

42722271680 is a wasteful number, since it uses less digits than its factorization.

42722271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 42722271680 in words is "forty-two billion, seven hundred twenty-two million, two hundred seventy-one thousand, six hundred eighty".