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1975698816 = 273721341197
BaseRepresentation
bin111010111000010…
…1100010110000000
312002200121220021020
41311300230112000
513021234330231
6524014025440
766650106600
oct16560542600
95080556236
101975698816
11924259843
124717a8280
13256419270
1414a570c00
15b86b2396
hex75c2c580

1975698816 has 384 divisors, whose sum is σ = 6768891360. Its totient is φ = 505774080.

The previous prime is 1975698811. The next prime is 1975698841. The reversal of 1975698816 is 6188965791.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1975698816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1975698811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10028830 + ... + 10029026.

Almost surely, 21975698816 is an apocalyptic number.

1975698816 is a gapful number since it is divisible by the number (16) 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 1975698816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384445680).

1975698816 is an abundant number, since it is smaller than the sum of its proper divisors (4793192544).

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

1975698816 is a wasteful number, since it uses less digits than its factorization.

1975698816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 60.

The square root of 1975698816 is about 44448.8336854861. The cubic root of 1975698816 is about 1254.7973124942.

The spelling of 1975698816 in words is "one billion, nine hundred seventy-five million, six hundred ninety-eight thousand, eight hundred sixteen".