Search a number
-
+
191304763456 = 26546732
BaseRepresentation
bin1011001000101010100…
…1110000100001000000
3200021210100122220100111
42302022221300201000
511113243004412311
6223514553001104
716551465442102
oct2621251604100
9607710586314
10191304763456
117414a6082a4
12310ab6b3194
1315069a46bb1
14938b35d572
154e99de7d21
hex2c8aa70840

191304763456 has 21 divisors (see below), whose sum is σ = 379627333581. Its totient is φ = 95650632192.

The previous prime is 191304763451. The next prime is 191304763487. The reversal of 191304763456 is 654367403191.

The square root of 191304763456 is 437384.

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

It can be written as a sum of positive squares in only one way, i.e., 25153960000 + 166150803456 = 158600^2 + 407616^2 .

It is a super-2 number, since 2×1913047634562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191304763451) 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 2 ways as a sum of consecutive naturals, for example, 3471736 + ... + 3526408.

Almost surely, 2191304763456 is an apocalyptic number.

191304763456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

191304763456 is the 437384-th square number.

It is an amenable number.

191304763456 is a deficient number, since it is larger than the sum of its proper divisors (188322570125).

191304763456 is an frugal number, since it uses more digits than its factorization.

191304763456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109358 (or 54675 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 191304763456 by its sum of digits (49), we get a square (9373933409344 = 30616882).

The spelling of 191304763456 in words is "one hundred ninety-one billion, three hundred four million, seven hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 54673 109346 218692 437384 874768 1749536 3499072 2989136929 5978273858 11956547716 23913095432 47826190864 95652381728 191304763456