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1996161408 = 2735292213
BaseRepresentation
bin111011011111011…
…0000000110000000
312011010010111200000
41312332300012000
513042004131113
6530024400000
7100316043363
oct16676600600
95133114600
101996161408
1193486567a
12478616000
1325a7320c7
1414d17a0da
15ba3a5373
hex76fb0180

1996161408 has 192 divisors, whose sum is σ = 6165104400. Its totient is φ = 642152448.

The previous prime is 1996161373. The next prime is 1996161439. The reversal of 1996161408 is 8041616991.

1996161408 is a `hidden beast` number, since 19 + 9 + 616 + 14 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900910 + ... + 903122.

Almost surely, 21996161408 is an apocalyptic number.

1996161408 is a gapful number since it is divisible by the number (18) 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 1996161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082552200).

1996161408 is an abundant number, since it is smaller than the sum of its proper divisors (4168942992).

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

1996161408 is an equidigital number, since it uses as much as digits as its factorization.

1996161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1996161408 is about 44678.4221744681. The cubic root of 1996161408 is about 1259.1144798486.

It can be divided in two parts, 1996161 and 408, that added together give a square (1996569 = 14132).

The spelling of 1996161408 in words is "one billion, nine hundred ninety-six million, one hundred sixty-one thousand, four hundred eight".