Search a number
-
+
1813988760336 = 24321122372
BaseRepresentation
bin11010011001011010001…
…001111101101100010000
320102102012222212211010100
4122121122021331230100
5214210022110312321
63505200202332400
7245025222024624
oct32313211755420
96372188784110
101813988760336
1163a343401345
122536911ba100
1310209b41a19c
1463b2459b184
15322bcbbb326
hex1a65a27db10

1813988760336 has 45 divisors (see below), whose sum is σ = 5076694332021. Its totient is φ = 604657532736.

The previous prime is 1813988760329. The next prime is 1813988760347. The reversal of 1813988760336 is 6330678893181.

The square root of 1813988760336 is 1346844.

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

1813988760336 is a `hidden beast` number, since 1 + 8 + 13 + 9 + 8 + 8 + 7 + 603 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 469910250000 + 1344078510336 = 685500^2 + 1159344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16106010 + ... + 16218246.

Almost surely, 21813988760336 is an apocalyptic number.

1813988760336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1813988760336 is the 1346844-th square number.

It is an amenable number.

1813988760336 is an abundant number, since it is smaller than the sum of its proper divisors (3262705571685).

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

1813988760336 is an frugal number, since it uses more digits than its factorization.

1813988760336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224488 (or 112242 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1813988760336 in words is "one trillion, eight hundred thirteen billion, nine hundred eighty-eight million, seven hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 112237 224474 336711 448948 673422 897896 1010133 1346844 1795792 2020266 2693688 4040532 5387376 8081064 16162128 12597144169 25194288338 37791432507 50388576676 75582865014 100777153352 113374297521 151165730028 201554306704 226748595042 302331460056 453497190084 604662920112 906994380168 1813988760336