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1874997819968 = 267213343313397
BaseRepresentation
bin11011010010001110100…
…101000011101001000000
320122020200211012011110112
4123102032211003221000
5221204443420214333
63553210114250452
7252315123335300
oct33221645035100
96566624164415
101874997819968
1166320042a889
12263478b86a28
13107a71c37080
1466a71079600
1533b8dcde948
hex1b48e943a40

1874997819968 has 168 divisors, whose sum is σ = 4662800953272. Its totient is φ = 741485961216.

The previous prime is 1874997819883. The next prime is 1874997819971. The reversal of 1874997819968 is 8699187994781.

It can be written as a sum of positive squares in 4 ways, for example, as 66704425984 + 1808293393984 = 258272^2 + 1344728^2 .

It is a super-3 number, since 3×18749978199683 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1874997819968.

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 23 ways as a sum of consecutive naturals, for example, 139949846 + ... + 139963242.

It is an arithmetic number, because the mean of its divisors is an integer number (27754767579).

Almost surely, 21874997819968 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 1874997819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331400476636).

1874997819968 is an abundant number, since it is smaller than the sum of its proper divisors (2787803133304).

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

1874997819968 is a wasteful number, since it uses less digits than its factorization.

1874997819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16869 (or 16852 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 86.

The spelling of 1874997819968 in words is "one trillion, eight hundred seventy-four billion, nine hundred ninety-seven million, eight hundred nineteen thousand, nine hundred sixty-eight".