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1080472933764 = 223272247492
BaseRepresentation
bin11111011100100010011…
…01001001010110000100
310211021220000110000122100
433232101031021112010
5120200302032340024
62144210140432100
7141030061255200
oct17562115112604
93737800400570
101080472933764
11387253892124
121554a0248630
137ab71399c03
143a41bd2db00
151d18b5037c9
hexfb91349584

1080472933764 has 81 divisors (see below), whose sum is σ = 3177233314437. Its totient is φ = 308694079008.

The previous prime is 1080472933753. The next prime is 1080472933811. The reversal of 1080472933764 is 4673392740801.

The square root of 1080472933764 is 1039458.

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

1080472933764 is a `hidden beast` number, since 1 + 0 + 80 + 472 + 9 + 3 + 37 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1063080599364 + 17392334400 = 1031058^2 + 131880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1080472933764.

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 26 ways as a sum of consecutive naturals, for example, 43644862 + ... + 43669610.

Almost surely, 21080472933764 is an apocalyptic number.

1080472933764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1080472933764 is the 1039458-th square number.

It is an amenable number.

1080472933764 is an abundant number, since it is smaller than the sum of its proper divisors (2096760380673).

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

1080472933764 is an frugal number, since it uses more digits than its factorization.

1080472933764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49522 (or 24761 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

It can be divided in two parts, 108047 and 2933764, that added together give a triangular number (3041811 = T2466).

The spelling of 1080472933764 in words is "one trillion, eighty billion, four hundred seventy-two million, nine hundred thirty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 24749 49498 74247 98996 148494 173243 222741 296988 346486 445482 519729 692972 890964 1039458 1212701 1559187 2078916 2425402 3118374 3638103 4850804 6236748 7276206 10914309 14552412 21828618 43657236 612513001 1225026002 1837539003 2450052004 3675078006 4287591007 5512617009 7350156012 8575182014 11025234018 12862773021 17150364028 22050468036 25725546042 30013137049 38588319063 51451092084 60026274098 77176638126 90039411147 120052548196 154353276252 180078822294 270118233441 360157644588 540236466882 1080472933764