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1660076384472 = 233311193110131171
BaseRepresentation
bin11000001010000100010…
…000110110000011011000
312212200221120121000112000
4120022010100312003120
5204144314023300342
63310343434121000
7230636145306012
oct30120420660330
95780846530460
101660076384472
11590041928310
12229898280160
13c0710448a2c
145a4c33851b2
152d2b08c444c
hex182844360d8

1660076384472 has 512 divisors, whose sum is σ = 5476184064000. Its totient is φ = 460354752000.

The previous prime is 1660076384467. The next prime is 1660076384489. The reversal of 1660076384472 is 2744836700661.

1660076384472 is a `hidden beast` number, since 16 + 60 + 0 + 76 + 38 + 4 + 472 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1417656447 + ... + 1417657617.

It is an arithmetic number, because the mean of its divisors is an integer number (10695672000).

Almost surely, 21660076384472 is an apocalyptic number.

1660076384472 is a gapful number since it is divisible by the number (12) 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 1660076384472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738092032000).

1660076384472 is an abundant number, since it is smaller than the sum of its proper divisors (3816107679528).

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

1660076384472 is a wasteful number, since it uses less digits than its factorization.

1660076384472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1660076384472 in words is "one trillion, six hundred sixty billion, seventy-six million, three hundred eighty-four thousand, four hundred seventy-two".