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1691490138624 = 2936112134367
BaseRepresentation
bin11000100111010100101…
…010110011101000000000
312222201000212010002000000
4120213110222303220000
5210203132433413444
63333020532000000
7233130462644046
oct30472452635000
95881025102000
101691490138624
115a23a20a4800
122339a4760000
13c3678696b40
145bc23482396
152deed6ad469
hex189d4ab3a00

1691490138624 has 1680 divisors, whose sum is σ = 6229268655456. Its totient is φ = 455243120640.

The previous prime is 1691490138619. The next prime is 1691490138647. The reversal of 1691490138624 is 4268310941961.

1691490138624 is a `hidden beast` number, since 1 + 6 + 9 + 1 + 4 + 9 + 0 + 1 + 3 + 8 + 624 = 666.

It is a super-2 number, since 2×16914901386242 (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 25246121439 + ... + 25246121505.

Almost surely, 21691490138624 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 1691490138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114634327728).

1691490138624 is an abundant number, since it is smaller than the sum of its proper divisors (4537778516832).

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

1691490138624 is an equidigital number, since it uses as much as digits as its factorization.

1691490138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1691490138624 in words is "one trillion, six hundred ninety-one billion, four hundred ninety million, one hundred thirty-eight thousand, six hundred twenty-four".