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1998061406784 = 2632588972
BaseRepresentation
bin11101000100110101101…
…111011000101001000000
321002000100100001010000100
4131010311233120221000
5230214012210004114
64125521410122400
7264232552506552
oct35046557305100
97060310033010
101998061406784
11700411636033
122832a2880400
13116554a3a3b1
146c9c721b4d2
1536e92be9909
hex1d135bd8a40

1998061406784 has 63 divisors (see below), whose sum is σ = 5727179502057. Its totient is φ = 666009160704.

The previous prime is 1998061406779. The next prime is 1998061406801. The reversal of 1998061406784 is 4876041608991.

The square root of 1998061406784 is 1413528.

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

1998061406784 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 0 + 614 + 0 + 6 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 276381518400 + 1721679888384 = 525720^2 + 1312128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33895224 + ... + 33954120.

Almost surely, 21998061406784 is an apocalyptic number.

1998061406784 is the 1413528-th square number.

It is an amenable number.

1998061406784 is an abundant number, since it is smaller than the sum of its proper divisors (3729118095273).

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

1998061406784 is an frugal number, since it uses more digits than its factorization.

1998061406784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117812 (or 58902 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1998061406784 in words is "one trillion, nine hundred ninety-eight billion, sixty-one million, four hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 58897 117794 176691 235588 353382 471176 530073 706764 942352 1060146 1413528 1884704 2120292 2827056 3769408 4240584 5654112 8481168 11308224 16962336 33924672 3468856609 6937713218 10406569827 13875426436 20813139654 27750852872 31219709481 41626279308 55501705744 62439418962 83252558616 111003411488 124878837924 166505117232 222006822976 249757675848 333010234464 499515351696 666020468928 999030703392 1998061406784