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47668922752 = 2711125926891
BaseRepresentation
bin101100011001010010…
…100000100110000000
311120001010111011210111
4230121102200212000
51240111221012002
633522050241104
73305165105113
oct543122404600
9146033434714
1047668922752
1119241956230
1292a4286194
134658b36489
142442cd257a
15138edd53d7
hexb194a0980

47668922752 has 64 divisors (see below), whose sum is σ = 103684795200. Its totient is φ = 21649676800.

The previous prime is 47668922729. The next prime is 47668922779. The reversal of 47668922752 is 25722986674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×476689227522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1759227 + ... + 1786117.

It is an arithmetic number, because the mean of its divisors is an integer number (1620074925).

Almost surely, 247668922752 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 47668922752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51842397600).

47668922752 is an abundant number, since it is smaller than the sum of its proper divisors (56015872448).

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

47668922752 is a wasteful number, since it uses less digits than its factorization.

47668922752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28175 (or 28163 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 58.

The spelling of 47668922752 in words is "forty-seven billion, six hundred sixty-eight million, nine hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1259 1408 2518 5036 10072 13849 20144 26891 27698 40288 53782 55396 80576 107564 110792 161152 215128 221584 295801 430256 443168 591602 860512 886336 1183204 1721024 1772672 2366408 3442048 4732816 9465632 18931264 33855769 37862528 67711538 135423076 270846152 372413459 541692304 744826918 1083384608 1489653836 2166769216 2979307672 4333538432 5958615344 11917230688 23834461376 47668922752