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42470866944 = 21733111091
BaseRepresentation
bin100111100011011101…
…100000000000000000
311001121212102120202000
4213203131200000000
51143440020220234
631302202024000
73032316261342
oct474335400000
9131555376660
1042470866944
1117014773a40
1282934a8000
13400ac514cc
1420ac7d7292
1511888aa899
hex9e3760000

42470866944 has 288 divisors, whose sum is σ = 137404874880. Its totient is φ = 12858163200.

The previous prime is 42470866873. The next prime is 42470866973. The reversal of 42470866944 is 44966807424.

42470866944 is a `hidden beast` number, since 4 + 2 + 470 + 86 + 6 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38927839 + ... + 38928929.

It is an arithmetic number, because the mean of its divisors is an integer number (477100260).

Almost surely, 242470866944 is an apocalyptic number.

42470866944 is a gapful number since it is divisible by the number (44) 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 42470866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68702437440).

42470866944 is an abundant number, since it is smaller than the sum of its proper divisors (94934007936).

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

42470866944 is an equidigital number, since it uses as much as digits as its factorization.

42470866944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 42470866944 in words is "forty-two billion, four hundred seventy million, eight hundred sixty-six thousand, nine hundred forty-four".