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54012431232 = 273344335279
BaseRepresentation
bin110010010011011001…
…000100101110000000
312011102012220210112000
4302103121010232000
51341104140244412
640451333504000
73621323042664
oct622331045600
9164365823460
1054012431232
11209a7678021
12a5747a2000
13512a1247a6
14288559c8a4
151611c734dc
hexc93644b80

54012431232 has 128 divisors (see below), whose sum is σ = 159776064000. Its totient is φ = 17962993152.

The previous prime is 54012431227. The next prime is 54012431257. The reversal of 54012431232 is 23213421045.

54012431232 is a `hidden beast` number, since 5 + 401 + 24 + 3 + 1 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54012431196 and 54012431205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513369 + ... + 1548647.

It is an arithmetic number, because the mean of its divisors is an integer number (1248250500).

Almost surely, 254012431232 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 54012431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79888032000).

54012431232 is an abundant number, since it is smaller than the sum of its proper divisors (105763632768).

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

54012431232 is a wasteful number, since it uses less digits than its factorization.

54012431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35745 (or 35727 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 54012431232 its reverse (23213421045), we get a palindrome (77225852277).

The spelling of 54012431232 in words is "fifty-four billion, twelve million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 443 576 864 886 1152 1329 1728 1772 2658 3456 3544 3987 5316 7088 7974 10632 11961 14176 15948 21264 23922 28352 31896 35279 42528 47844 56704 63792 70558 85056 95688 105837 127584 141116 170112 191376 211674 255168 282232 317511 382752 423348 510336 564464 635022 765504 846696 952533 1128928 1270044 1531008 1693392 1905066 2257856 2540088 3386784 3810132 4515712 5080176 6773568 7620264 10160352 13547136 15240528 15628597 20320704 30481056 31257194 40641408 46885791 60962112 62514388 93771582 121924224 125028776 140657373 187543164 250057552 281314746 375086328 421972119 500115104 562629492 750172656 843944238 1000230208 1125258984 1500345312 1687888476 2000460416 2250517968 3000690624 3375776952 4501035936 6001381248 6751553904 9002071872 13503107808 18004143744 27006215616 54012431232