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47312039970 = 232513337119993
BaseRepresentation
bin101100000100000001…
…000111000000100010
311112010020221122122200
4230010001013000202
51233343340234340
633422421114030
73263302463406
oct540401070042
9145106848580
1047312039970
111907945a988
129204858916
1345ccc10530
14240b753106
15136d8dc330
hexb04047022

47312039970 has 96 divisors (see below), whose sum is σ = 132867916272. Its totient is φ = 11611385856.

The previous prime is 47312039923. The next prime is 47312039989. The reversal of 47312039970 is 7993021374.

47312039970 is a `hidden beast` number, since 4 + 73 + 120 + 399 + 70 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1029832281 + 46282207689 = 32091^2 + 215133^2 .

It is a super-2 number, since 2×473120399702 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334294 + ... + 454286.

Almost surely, 247312039970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47312039970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66433958136).

47312039970 is an abundant number, since it is smaller than the sum of its proper divisors (85555876302).

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

47312039970 is a wasteful number, since it uses less digits than its factorization.

47312039970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120356 (or 120353 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 47312039970 in words is "forty-seven billion, three hundred twelve million, thirty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 337 390 585 674 1011 1170 1685 2022 3033 3370 4381 5055 6066 8762 10110 13143 15165 21905 26286 30330 39429 43810 65715 78858 119993 131430 197145 239986 359979 394290 599965 719958 1079937 1199930 1559909 1799895 2159874 3119818 3599790 4679727 5399685 7799545 9359454 10799370 14039181 15599090 23398635 28078362 40437641 46797270 70195905 80875282 121312923 140391810 202188205 242625846 363938769 404376410 525689333 606564615 727877538 1051378666 1213129230 1577067999 1819693845 2628446665 3154135998 3639387690 4731203997 5256893330 7885339995 9462407994 15770679990 23656019985 47312039970