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54213321312 = 25321847101917
BaseRepresentation
bin110010011111010111…
…011010001001100000
312011221012221001220100
4302133113122021200
51342012102240222
640523311342400
73626312425233
oct623727321140
9164835831810
1054213321312
1120aa0008787
12a60bb21a00
13515c930c67
1428a413341a
1516247064ac
hexc9f5da260

54213321312 has 72 divisors (see below), whose sum is σ = 154254116016. Its totient is φ = 18061145856.

The previous prime is 54213321293. The next prime is 54213321313. The reversal of 54213321312 is 21312331245.

54213321312 is a `hidden beast` number, since 5 + 4 + 21 + 3 + 321 + 312 = 666.

54213321312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54213321313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480978 + ... + 582894.

It is an arithmetic number, because the mean of its divisors is an integer number (2142418278).

Almost surely, 254213321312 is an apocalyptic number.

It is an amenable number.

54213321312 is an abundant number, since it is smaller than the sum of its proper divisors (100040794704).

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

54213321312 is a wasteful number, since it uses less digits than its factorization.

54213321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103780 (or 103769 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 54213321312 its reverse (21312331245), we get a palindrome (75525652557).

The spelling of 54213321312 in words is "fifty-four billion, two hundred thirteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1847 3694 5541 7388 11082 14776 16623 22164 29552 33246 44328 59104 66492 88656 101917 132984 177312 203834 265968 305751 407668 531936 611502 815336 917253 1223004 1630672 1834506 2446008 3261344 3669012 4892016 7338024 9784032 14676048 29352096 188240699 376481398 564722097 752962796 1129444194 1505925592 1694166291 2258888388 3011851184 3388332582 4517776776 6023702368 6776665164 9035553552 13553330328 18071107104 27106660656 54213321312