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1899369086976 = 21432372972
BaseRepresentation
bin11011101000111011001…
…110000100000000000000
320201120121022000210202100
4123220323032010000000
5222104401441240401
64012320315150400
7254140064600004
oct33507316040000
96646538023670
101899369086976
11672577373469
1226813aa45400
1310a15712461a
1467d03b1a704
15346186bab86
hex1ba3b384000

1899369086976 has 405 divisors, whose sum is σ = 5697936759879. Its totient is φ = 609660960768.

The previous prime is 1899369086959. The next prime is 1899369087017. The reversal of 1899369086976 is 6796809639981.

The square root of 1899369086976 is 1378176.

It is a perfect power (a square), and thus also a powerful number.

1899369086976 is a `hidden beast` number, since 1 + 8 + 99 + 369 + 0 + 86 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 293573246976 + 1605795840000 = 541824^2 + 1267200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1899369086895 and 1899369086904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19581124560 + ... + 19581124656.

Almost surely, 21899369086976 is an apocalyptic number.

1899369086976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1899369086976 is the 1378176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1899369086976

1899369086976 is an abundant number, since it is smaller than the sum of its proper divisors (3798567672903).

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

1899369086976 is an frugal number, since it uses more digits than its factorization.

1899369086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1904684544, while the sum is 81.

Multiplying 1899369086976 by its sum of digits (81), we get a square (153848896045056 = 124035842).

It can be divided in two parts, 18993 and 69086976, that added together give a square (69105969 = 83132).

The spelling of 1899369086976 in words is "one trillion, eight hundred ninety-nine billion, three hundred sixty-nine million, eighty-six thousand, nine hundred seventy-six".