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54160032264 = 2331347278583
BaseRepresentation
bin110010011100001100…
…001000001000001000
312011210111122201001220
4302130030020020020
51341404432013024
640514125242040
73625064451462
oct623414101010
9164714581056
1054160032264
1120a72a20948
12a5b6103320
135151893790
14289b021132
15161ebcbe79
hexc9c308208

54160032264 has 96 divisors (see below), whose sum is σ = 148985833920. Its totient is φ = 16309851264.

The previous prime is 54160032259. The next prime is 54160032293. The reversal of 54160032264 is 46223006145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649917 + ... + 728499.

It is an arithmetic number, because the mean of its divisors is an integer number (1551935770).

Almost surely, 254160032264 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 54160032264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74492916960).

54160032264 is an abundant number, since it is smaller than the sum of its proper divisors (94825801656).

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

54160032264 is a wasteful number, since it uses less digits than its factorization.

54160032264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78699 (or 78648 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 54160032264 in words is "fifty-four billion, one hundred sixty million, thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1833 2209 2444 3666 4418 4888 6627 7332 8836 13254 14664 17672 26508 28717 53016 57434 78583 86151 114868 157166 172302 229736 235749 314332 344604 471498 628664 689208 942996 1021579 1885992 2043158 3064737 3693401 4086316 6129474 7386802 8172632 11080203 12258948 14773604 22160406 24517896 29547208 44320812 48014213 88641624 96028426 144042639 173589847 192056852 288085278 347179694 384113704 520769541 576170556 694359388 1041539082 1152341112 1388718776 2083078164 2256668011 4166156328 4513336022 6770004033 9026672044 13540008066 18053344088 27080016132 54160032264