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47459048104 = 23131737017253
BaseRepresentation
bin101100001100110001…
…111001101010101000
311112111111120102220101
4230030301321222220
51234144004014404
633445152035144
73300036152506
oct541461715250
9145444512811
1047459048104
1119144439306
129245b32ab4
1346245026b0
14242309d676
15137b77a2a4
hexb0cc79aa8

47459048104 has 64 divisors (see below), whose sum is σ = 101509284240. Its totient is φ = 20607283200.

The previous prime is 47459048083. The next prime is 47459048137. The reversal of 47459048104 is 40184095474.

It can be written as a sum of positive squares in 8 ways, for example, as 24809400100 + 22649648004 = 157510^2 + 150498^2 .

It is a super-2 number, since 2×474590481042 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6539742 + ... + 6546994.

Almost surely, 247459048104 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 47459048104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50754642120).

47459048104 is an abundant number, since it is smaller than the sum of its proper divisors (54050236136).

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

47459048104 is a wasteful number, since it uses less digits than its factorization.

47459048104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 47459048104 in words is "forty-seven billion, four hundred fifty-nine million, forty-eight thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 3701 7253 7402 14506 14804 29012 29608 48113 58024 62917 94289 96226 123301 125834 188578 192452 246602 251668 377156 384904 493204 503336 754312 817921 986408 1602913 1635842 3205826 3271684 6411652 6543368 12823304 26843353 53686706 107373412 214746824 348963589 456337001 697927178 912674002 1395854356 1825348004 2791708712 3650696008 5932381013 11864762026 23729524052 47459048104