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54095213232 = 2433541231461
BaseRepresentation
bin110010011000010100…
…110111001010110000
312011121222200120002000
4302120110313022300
51341241333310412
640503452054000
73623346503634
oct623024671260
9164558616060
1054095213232
1120a3a3793a5
12a598464300
13514131a218
14289258adc4
1516191764dc
hexc985372b0

54095213232 has 80 divisors (see below), whose sum is σ = 155560980960. Its totient is φ = 17998329600.

The previous prime is 54095213197. The next prime is 54095213257. The reversal of 54095213232 is 23231259045.

54095213232 is a `hidden beast` number, since 5 + 409 + 5 + 2 + 13 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 117982 + ... + 349442.

It is an arithmetic number, because the mean of its divisors is an integer number (1944512262).

Almost surely, 254095213232 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 54095213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77780490480).

54095213232 is an abundant number, since it is smaller than the sum of its proper divisors (101465767728).

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

54095213232 is a wasteful number, since it uses less digits than its factorization.

54095213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232019 (or 232007 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 54095213232 in words is "fifty-four billion, ninety-five million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 541 1082 1623 2164 3246 4328 4869 6492 8656 9738 12984 14607 19476 25968 29214 38952 58428 77904 116856 231461 233712 462922 694383 925844 1388766 1851688 2083149 2777532 3703376 4166298 5555064 6249447 8332596 11110128 12498894 16665192 24997788 33330384 49995576 99991152 125220401 250440802 375661203 500881604 751322406 1001763208 1126983609 1502644812 2003526416 2253967218 3005289624 3380950827 4507934436 6010579248 6761901654 9015868872 13523803308 18031737744 27047606616 54095213232