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1984514424156 = 22341112731713831
BaseRepresentation
bin11100111000001110010…
…001101111110101011100
321000201101020000002110000
4130320032101233311130
5230003241143033111
64115401235214300
7263243055165435
oct34701621576534
97021336002400
101984514424156
116a569a724520
12280741a47390
131151a6243744
146c09dd8a48c
153694d74dc56
hex1ce0e46fd5c

1984514424156 has 240 divisors, whose sum is σ = 5722512187392. Its totient is φ = 594707702400.

The previous prime is 1984514424131. The next prime is 1984514424163. The reversal of 1984514424156 is 6514244154891.

It is a happy number.

1984514424156 is a `hidden beast` number, since 1 + 9 + 8 + 45 + 1 + 442 + 4 + 156 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143476161 + ... + 143489991.

Almost surely, 21984514424156 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 1984514424156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861256093696).

1984514424156 is an abundant number, since it is smaller than the sum of its proper divisors (3737997763236).

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

1984514424156 is a wasteful number, since it uses less digits than its factorization.

1984514424156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14302 (or 14291 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 1984514424156 in words is "one trillion, nine hundred eighty-four billion, five hundred fourteen million, four hundred twenty-four thousand, one hundred fifty-six".