Search a number
-
+
47968495300 = 225211411975399
BaseRepresentation
bin101100101011001001…
…010010011011000100
311120211000012001002001
4230223021102123010
51241214413322200
634011511155044
73315463324345
oct545311223304
9146730161061
1047968495300
1119385a68550
129368675a84
1346a5c1483b
1424709d40cc
1513ab35c76a
hexb2b2526c4

47968495300 has 144 divisors (see below), whose sum is σ = 116936265600. Its totient is φ = 16928128000.

The previous prime is 47968495283. The next prime is 47968495307. The reversal of 47968495300 is 359486974.

It is a super-2 number, since 2×479684953002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (47968495307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8882001 + ... + 8887399.

It is an arithmetic number, because the mean of its divisors is an integer number (812057400).

Almost surely, 247968495300 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 47968495300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58468132800).

47968495300 is an abundant number, since it is smaller than the sum of its proper divisors (68967770300).

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

47968495300 is a wasteful number, since it uses less digits than its factorization.

47968495300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 47968495300 in words is "forty-seven billion, nine hundred sixty-eight million, four hundred ninety-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 197 205 220 275 394 410 451 550 788 820 902 985 1025 1100 1804 1970 2050 2167 2255 3940 4100 4334 4510 4925 5399 8077 8668 9020 9850 10798 10835 11275 16154 19700 21596 21670 22550 26995 32308 40385 43340 45100 53990 54175 59389 80770 88847 107980 108350 118778 134975 161540 177694 201925 216700 221359 237556 269950 296945 355388 403850 442718 444235 539900 593890 807700 885436 888470 1063603 1106795 1187780 1484725 1776940 2127206 2213590 2221175 2434949 2969450 4254412 4427180 4442350 4869898 5318015 5533975 5938900 8884700 9739796 10636030 11067950 11699633 12174745 21272060 22135900 23399266 24349490 26590075 43607723 46798532 48698980 53180150 58498165 60873725 87215446 106360300 116996330 121747450 174430892 218038615 233992660 243494900 292490825 436077230 479684953 584981650 872154460 959369906 1090193075 1169963300 1918739812 2180386150 2398424765 4360772300 4796849530 9593699060 11992123825 23984247650 47968495300