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47975751972 = 22324132503897
BaseRepresentation
bin101100101011100100…
…111110000100100100
311120211111211201100200
4230223210332010210
51241223243030342
634012330510500
73315612110001
oct545344760444
9146744751320
1047975751972
111938a0745a5
12936ab95430
1346a7585825
1424719628a8
1513abce294c
hexb2b93e124

47975751972 has 36 divisors (see below), whose sum is σ = 124229898156. Its totient is φ = 15601870080.

The previous prime is 47975751961. The next prime is 47975751973. The reversal of 47975751972 is 27915757974.

47975751972 is a `hidden beast` number, since 47 + 9 + 7 + 5 + 7 + 519 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23594803236 + 24380948736 = 153606^2 + 156144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (47975751973) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16250473 + ... + 16253424.

Almost surely, 247975751972 is an apocalyptic number.

It is an amenable number.

47975751972 is an abundant number, since it is smaller than the sum of its proper divisors (76254146184).

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

47975751972 is a wasteful number, since it uses less digits than its factorization.

47975751972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32503948 (or 32503943 counting only the distinct ones).

The product of its digits is 38896200, while the sum is 63.

The spelling of 47975751972 in words is "forty-seven billion, nine hundred seventy-five million, seven hundred fifty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 32503897 65007794 97511691 130015588 195023382 292535073 390046764 585070146 1170140292 1332659777 2665319554 3997979331 5330639108 7995958662 11993937993 15991917324 23987875986 47975751972