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42477944184 = 23341329317179
BaseRepresentation
bin100111100011111000…
…011111110101111000
311001122100202010220000
4213203320133311320
51143443323203214
631303013433000
73032433365604
oct474370376570
9131570663800
1042477944184
11170187681a5
12829593b760
13400c55b920
1420ad71a504
151189307809
hex9e3e1fd78

42477944184 has 640 divisors, whose sum is σ = 140507136000. Its totient is φ = 11887948800.

The previous prime is 42477944177. The next prime is 42477944191. The reversal of 42477944184 is 48144977424.

42477944184 is a `hidden beast` number, since 4 + 2 + 477 + 94 + 4 + 1 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (42477944177) and next prime (42477944191).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42477944184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 537695457 + ... + 537695535.

It is an arithmetic number, because the mean of its divisors is an integer number (219542400).

Almost surely, 242477944184 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 42477944184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253568000).

42477944184 is an abundant number, since it is smaller than the sum of its proper divisors (98029191816).

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

42477944184 is a wasteful number, since it uses less digits than its factorization.

42477944184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 42477944184 in words is "forty-two billion, four hundred seventy-seven million, nine hundred forty-four thousand, one hundred eighty-four".