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11732488273984 = 2661270192
BaseRepresentation
bin1010101010111010111011…
…0010111100000001000000
31112112121121021120101122011
42222232232302330001000
53014211113444231414
640541455233222304
72320433665605652
oct252565662740100
945477537511564
1011732488273984
1138137a1846715
121395a02701994
136714a460b14a
142c7bd95626d2
151552c7a4bdc4
hexaabaecbc040

11732488273984 has 63 divisors (see below), whose sum is σ = 23672952441021. Its totient is φ = 5769254135040.

The previous prime is 11732488273981. The next prime is 11732488273993. The reversal of 11732488273984 is 48937288423711.

The square root of 11732488273984 is 3425272.

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., 381518699584 + 11350969574400 = 617672^2 + 3369120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11732488273981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1671529227 + ... + 1671536245.

Almost surely, 211732488273984 is an apocalyptic number.

11732488273984 is the 3425272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11732488273984

11732488273984 is an abundant number, since it is smaller than the sum of its proper divisors (11940464167037).

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

11732488273984 is an frugal number, since it uses more digits than its factorization.

11732488273984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14172 (or 7082 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 67.

The spelling of 11732488273984 in words is "eleven trillion, seven hundred thirty-two billion, four hundred eighty-eight million, two hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3721 3904 7019 7442 14038 14884 28076 29768 56152 59536 112304 119072 224608 238144 428159 449216 856318 1712636 3425272 6850544 13701088 26117699 27402176 49266361 52235398 98532722 104470796 197065444 208941592 394130888 417883184 788261776 835766368 1576523552 1671532736 3005248021 3153047104 6010496042 12020992084 24041984168 48083968336 96167936672 183320129281 192335873344 366640258562 733280517124 1466561034248 2933122068496 5866244136992 11732488273984