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1606627380384 = 253313373865951
BaseRepresentation
bin10111011000010010011…
…101000100110010100000
312200120222121212021202000
4113120102131010302200
5202310333102133014
63230024024324000
7224034503256525
oct27302235046240
95616877767660
101606627380384
1156a4042a9464
1221b460313600
13b8672c861b0
1457a9296d14c
152bbd3347509
hex17612744ca0

1606627380384 has 192 divisors, whose sum is σ = 5182849889280. Its totient is φ = 480986035200.

The previous prime is 1606627380383. The next prime is 1606627380389. The reversal of 1606627380384 is 4830837266061.

1606627380384 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 627 + 3 + 8 + 0 + 3 + 8 + 4 = 666.

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 1606627380384.

It is not an unprimeable number, because it can be changed into a prime (1606627380383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517392 + ... + 2348559.

It is an arithmetic number, because the mean of its divisors is an integer number (26994009840).

Almost surely, 21606627380384 is an apocalyptic number.

It is an amenable number.

1606627380384 is an abundant number, since it is smaller than the sum of its proper divisors (3576222508896).

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

1606627380384 is a wasteful number, since it uses less digits than its factorization.

1606627380384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866020 (or 3866006 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1606627380384 in words is "one trillion, six hundred six billion, six hundred twenty-seven million, three hundred eighty thousand, three hundred eighty-four".