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1606408760196 = 2234192983108413
BaseRepresentation
bin10111011000000101011…
…011000110101110000100
312200120102101111020020000
4113120011123012232010
5202304411120311241
63225550214441300
7224026210111062
oct27300533065604
95616371436200
101606408760196
1156a301958919
1221b3bb063230
13b86398ac836
1457a71901032
152bbbe060eb6
hex176056c6b84

1606408760196 has 240 divisors, whose sum is σ = 4628063563200. Its totient is φ = 483888722688.

The previous prime is 1606408760171. The next prime is 1606408760219. The reversal of 1606408760196 is 6910678046061.

It is a happy number.

1606408760196 is a `hidden beast` number, since 160 + 6 + 408 + 7 + 60 + 19 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14763286 + ... + 14871698.

It is an arithmetic number, because the mean of its divisors is an integer number (19283598180).

Almost surely, 21606408760196 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 1606408760196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314031781600).

1606408760196 is an abundant number, since it is smaller than the sum of its proper divisors (3021654803004).

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

1606408760196 is a wasteful number, since it uses less digits than its factorization.

1606408760196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108560 (or 108549 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1606408760196 in words is "one trillion, six hundred six billion, four hundred eight million, seven hundred sixty thousand, one hundred ninety-six".