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42952880880 = 24345713233167
BaseRepresentation
bin101000000000001100…
…001111001011110000
311002212110102102120000
4220000030033023300
51200431414142010
631422101150000
73050261314650
oct500014171360
9132773372500
1042952880880
1117241866168
1283a89bb300
134086a79a60
14211682a360
1511b5d6e7c0
hexa0030f2f0

42952880880 has 800 divisors, whose sum is σ = 191651733504. Its totient is φ = 8665823232.

The previous prime is 42952880837. The next prime is 42952880909. The reversal of 42952880880 is 8808825924.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13561057 + ... + 13564223.

Almost surely, 242952880880 is an apocalyptic number.

42952880880 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 42952880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95825866752).

42952880880 is an abundant number, since it is smaller than the sum of its proper divisors (148698852624).

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

42952880880 is a wasteful number, since it uses less digits than its factorization.

42952880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 42952880880 in words is "forty-two billion, nine hundred fifty-two million, eight hundred eighty thousand, eight hundred eighty".