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74220144480 = 2534561223421
BaseRepresentation
bin100010100011111011…
…1011000011101100000
321002120112021222210000
41011013313120131200
52204000324110410
654032443140000
75235146550606
oct1050767303540
9232515258700
1074220144480
1129527378089
1212474214600
136cca857471
1438412b3876
151de5d6ddc0
hex1147dd8760

74220144480 has 480 divisors, whose sum is σ = 268058343168. Its totient is φ = 19334246400.

The previous prime is 74220144463. The next prime is 74220144529. The reversal of 74220144480 is 8444102247.

74220144480 is a `hidden beast` number, since 7 + 4 + 2 + 201 + 4 + 448 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176294670 + ... + 176295090.

Almost surely, 274220144480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74220144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134029171584).

74220144480 is an abundant number, since it is smaller than the sum of its proper divisors (193838198688).

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

74220144480 is a wasteful number, since it uses less digits than its factorization.

74220144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 74220144480 in words is "seventy-four billion, two hundred twenty million, one hundred forty-four thousand, four hundred eighty".