Search a number
-
+
47693137050 = 232521317479569
BaseRepresentation
bin101100011010101110…
…111000010010011010
311120002211001101120100
4230122232320102122
51240133420341200
633524313240230
73305610655536
oct543256702232
9146084041510
1047693137050
1119254594849
1292b0403076
134660b63b70
1424461d6bc6
1513920b9d00
hexb1abb849a

47693137050 has 144 divisors (see below), whose sum is σ = 146109632760. Its totient is φ = 11049246720.

The previous prime is 47693137043. The next prime is 47693137069. The reversal of 47693137050 is 5073139674.

47693137050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4244652801 + 43448484249 = 65151^2 + 208443^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47693136987 and 47693137005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140335 + ... + 339234.

Almost surely, 247693137050 is an apocalyptic number.

47693137050 is an abundant number, since it is smaller than the sum of its proper divisors (98416495710).

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

47693137050 is a wasteful number, since it uses less digits than its factorization.

47693137050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479617 (or 479609 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 47693137050 in words is "forty-seven billion, six hundred ninety-three million, one hundred thirty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 325 390 425 442 450 510 585 650 663 765 850 975 1105 1170 1275 1326 1530 1950 1989 2210 2550 2925 3315 3825 3978 5525 5850 6630 7650 9945 11050 16575 19890 33150 49725 99450 479569 959138 1438707 2397845 2877414 4316121 4795690 6234397 7193535 8152673 8632242 11989225 12468794 14387070 16305346 18703191 21580605 23978450 24458019 31171985 35967675 37406382 40763365 43161210 48916038 56109573 62343970 71935350 73374057 81526730 93515955 105984749 107903025 112219146 122290095 146748114 155859925 187031910 203816825 211969498 215806050 244580190 280547865 311719850 317954247 366870285 407633650 467579775 529923745 561095730 611450475 635908494 733740570 935159550 953862741 1059847490 1222900950 1402739325 1589771235 1834351425 1907725482 2649618725 2805478650 3179542470 3668702850 4769313705 5299237450 7948856175 9538627410 15897712350 23846568525 47693137050