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47456728792 = 23111958748353
BaseRepresentation
bin101100001100101001…
…000011011011011000
311112111100012121101221
4230030221003123120
51234142410310132
633445030221424
73300010352614
oct541451033330
9145440177357
1047456728792
11191430a4820
1292451b4874
134623b9cb15
142422a58344
15137b46ce97
hexb0ca436d8

47456728792 has 64 divisors (see below), whose sum is σ = 102355747200. Its totient is φ = 20400675840.

The previous prime is 47456728771. The next prime is 47456728807. The reversal of 47456728792 is 29782765474.

It is a super-2 number, since 2×474567287922 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47456728792.

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, 957288 + ... + 1005640.

It is an arithmetic number, because the mean of its divisors is an integer number (1599308550).

Almost surely, 247456728792 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 47456728792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51177873600).

47456728792 is an abundant number, since it is smaller than the sum of its proper divisors (54899018408).

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

47456728792 is a wasteful number, since it uses less digits than its factorization.

47456728792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48976 (or 48972 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 61.

The spelling of 47456728792 in words is "forty-seven billion, four hundred fifty-six million, seven hundred twenty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 587 836 1174 1672 2348 4696 6457 11153 12914 22306 25828 44612 48353 51656 89224 96706 122683 193412 245366 386824 490732 531883 918707 981464 1063766 1837414 2127532 3674828 4255064 7349656 10105777 20211554 28383211 40423108 56766422 80846216 113532844 227065688 312215321 539281009 624430642 1078562018 1248861284 2157124036 2497722568 4314248072 5932091099 11864182198 23728364396 47456728792