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42950367360 = 2732558712703
BaseRepresentation
bin101000000000000010…
…101001100010000000
311002212021200201122200
4220000002221202000
51200430243223420
631421531233200
73050231045625
oct500002514200
9132767621580
1042950367360
11172403a977a
1283a7ba8800
1340863a9974
14211637434c
1511b5a24b90
hexa000a9880

42950367360 has 192 divisors, whose sum is σ = 148577345280. Its totient is φ = 11433019392.

The previous prime is 42950367359. The next prime is 42950367367. The reversal of 42950367360 is 6376305924.

42950367360 is a `hidden beast` number, since 4 + 29 + 503 + 67 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42950367367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3374769 + ... + 3387471.

It is an arithmetic number, because the mean of its divisors is an integer number (773840340).

Almost surely, 242950367360 is an apocalyptic number.

42950367360 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 42950367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74288672640).

42950367360 is an abundant number, since it is smaller than the sum of its proper divisors (105626977920).

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

42950367360 is a wasteful number, since it uses less digits than its factorization.

42950367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 42950367360 in words is "forty-two billion, nine hundred fifty million, three hundred sixty-seven thousand, three hundred sixty".