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42722480640 = 2935721071061
BaseRepresentation
bin100111110010011101…
…010101001000000000
311002021101212212211210
4213302131111020000
51144443423340030
631343151010120
73041463044100
oct476235251000
9132241785753
1042722480640
11171337aa044
128343809940
13404b10a558
1420d3db3200
1511a0a0cbb0
hex9f2755200

42722480640 has 480 divisors, whose sum is σ = 160512922944. Its totient is φ = 9664757760.

The previous prime is 42722480639. The next prime is 42722480641. The reversal of 42722480640 is 4608422724.

It is an interprime number because it is at equal distance from previous prime (42722480639) and next prime (42722480641).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (42722480641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40265710 + ... + 40266770.

Almost surely, 242722480640 is an apocalyptic number.

42722480640 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 42722480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80256461472).

42722480640 is an abundant number, since it is smaller than the sum of its proper divisors (117790442304).

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

42722480640 is a wasteful number, since it uses less digits than its factorization.

42722480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 42722480640 in words is "forty-two billion, seven hundred twenty-two million, four hundred eighty thousand, six hundred forty".