Search a number
-
+
54427727232 = 2732211122381
BaseRepresentation
bin110010101100001001…
…010011010110000000
312012111011101000112100
4302230021103112000
51342431444232412
641000451030400
73634525022334
oct625411232600
9165434330470
1054427727232
11210a004005a
12a66b89b400
135195190378
1428c47c57c4
151638458edc
hexcac253580

54427727232 has 96 divisors (see below), whose sum is σ = 156702648960. Its totient is φ = 18133171200.

The previous prime is 54427727213. The next prime is 54427727243. The reversal of 54427727232 is 23272772445.

54427727232 is a `hidden beast` number, since 544 + 2 + 7 + 7 + 2 + 72 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2420682 + ... + 2443062.

It is an arithmetic number, because the mean of its divisors is an integer number (1632319260).

Almost surely, 254427727232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54427727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78351324480).

54427727232 is an abundant number, since it is smaller than the sum of its proper divisors (102274921728).

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

54427727232 is a wasteful number, since it uses less digits than its factorization.

54427727232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24512 (or 24497 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 45.

The spelling of 54427727232 in words is "fifty-four billion, four hundred twenty-seven million, seven hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2111 4222 6333 8444 12666 16888 18999 22381 25332 33776 37998 44762 50664 67143 67552 75996 89524 101328 134286 135104 151992 179048 201429 202656 268572 270208 303984 358096 402858 405312 537144 607968 716192 805716 810624 1074288 1215936 1432384 1611432 2148576 2431872 2864768 3222864 4297152 6445728 8594304 12891456 25782912 47246291 94492582 141738873 188985164 283477746 377970328 425216619 566955492 755940656 850433238 1133910984 1511881312 1700866476 2267821968 3023762624 3401732952 4535643936 6047525248 6803465904 9071287872 13606931808 18142575744 27213863616 54427727232