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42966560000 = 28547132227
BaseRepresentation
bin101000000001000000…
…011010110100000000
311002220102011101210002
4220001000122310000
51200443414410000
631423310255132
73050515506530
oct500100326400
9132812141702
1042966560000
1117249559521
1283b14b74a8
134089859100
14211858b4c0
1511b71728d5
hexa0101ad00

42966560000 has 540 divisors, whose sum is σ = 133213383072. Its totient is φ = 13538304000.

The previous prime is 42966559997. The next prime is 42966560027. The reversal of 42966560000 is 6566924.

It is a super-2 number, since 2×429665600002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 189279887 + ... + 189280113.

Almost surely, 242966560000 is an apocalyptic number.

42966560000 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 42966560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66606691536).

42966560000 is an abundant number, since it is smaller than the sum of its proper divisors (90246823072).

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

42966560000 is an equidigital number, since it uses as much as digits as its factorization.

42966560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 42966560000 in words is "forty-two billion, nine hundred sixty-six million, five hundred sixty thousand".