Search a number
-
+
47031756400 = 24521961101449
BaseRepresentation
bin101011110011010011…
…111010011001110000
311111101201112202212201
4223303103322121300
51232310112201100
633334525432544
73253330222216
oct536323723160
9144351482781
1047031756400
1118a45222772
129146a0b754
134586b26a75
1423c2432cb6
151353ec536a
hexaf34fa670

47031756400 has 120 divisors (see below), whose sum is σ = 120891878000. Its totient is φ = 17530214400.

The previous prime is 47031756323. The next prime is 47031756407. The reversal of 47031756400 is 465713074.

It is a super-2 number, since 2×470317564002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47031756400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47031756407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412876 + ... + 514324.

Almost surely, 247031756400 is an apocalyptic number.

47031756400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47031756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60445939000).

47031756400 is an abundant number, since it is smaller than the sum of its proper divisors (73860121600).

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

47031756400 is a wasteful number, since it uses less digits than its factorization.

47031756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101547 (or 101536 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 47031756400 in words is "forty-seven billion, thirty-one million, seven hundred fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 61 76 80 95 100 122 152 190 200 244 304 305 380 400 475 488 610 760 950 976 1159 1220 1520 1525 1900 2318 2440 3050 3800 4636 4880 5795 6100 7600 9272 11590 12200 18544 23180 24400 28975 46360 57950 92720 101449 115900 202898 231800 405796 463600 507245 811592 1014490 1623184 1927531 2028980 2536225 3855062 4057960 5072450 6188389 7710124 8115920 9637655 10144900 12376778 15420248 19275310 20289800 24753556 30840496 30941945 38550620 40579600 48188275 49507112 61883890 77101240 96376550 99014224 117579391 123767780 154202480 154709725 192753100 235158782 247535560 309419450 385506200 470317564 495071120 587896955 618838900 771012400 940635128 1175793910 1237677800 1881270256 2351587820 2475355600 2939484775 4703175640 5878969550 9406351280 11757939100 23515878200 47031756400