Search a number
-
+
47242563885320 = 23529314993263119
BaseRepresentation
bin10101011110111100001000…
…01111010001100100001000
320012021100022111122002011012
422233132010033101210020
522143010232323312240
6244250533443423052
712644106526236116
oct1257360417214410
9205240274562135
1047242563885320
111406450577a641
12536bb13084a88
132048c545014cb
14b947a36c0ab6
1556dd4a4c1b65
hex2af7843d1908

47242563885320 has 128 divisors (see below), whose sum is σ = 113531438592000. Its totient is φ = 17653239152640.

The previous prime is 47242563885311. The next prime is 47242563885367. The reversal of 47242563885320 is 2358836524274.

It is a super-2 number, since 2×472425638853202 (a number of 28 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 47242563885320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179416721 + ... + 179679839.

It is an arithmetic number, because the mean of its divisors is an integer number (886964364000).

Almost surely, 247242563885320 is an apocalyptic number.

47242563885320 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 47242563885320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56765719296000).

47242563885320 is an abundant number, since it is smaller than the sum of its proper divisors (66288874706680).

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

47242563885320 is a wasteful number, since it uses less digits than its factorization.

47242563885320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268183 (or 268179 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 59.

The spelling of 47242563885320 in words is "forty-seven trillion, two hundred forty-two billion, five hundred sixty-three million, eight hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 248 290 310 580 620 899 1160 1240 1798 3596 4495 4993 7192 8990 9986 17980 19972 24965 35960 39944 49930 99860 144797 154783 199720 263119 289594 309566 526238 579188 619132 723985 773915 1052476 1158376 1238264 1315595 1447970 1547830 2104952 2631190 2895940 3095660 4488707 5262380 5791880 6191320 7630451 8156689 8977414 10524760 15260902 16313378 17954828 22443535 30521804 32626756 35909656 38152255 40783445 44887070 61043608 65253512 76304510 81566890 89774140 152609020 163133780 179548280 236543981 305218040 326267560 473087962 946175924 1182719905 1313753167 1892351848 2365439810 2627506334 4730879620 5255012668 6568765835 9461759240 10510025336 13137531670 26275063340 38098841843 40726348177 52550126680 76197683686 81452696354 152395367372 162905392708 190494209215 203631740885 304790734744 325810785416 380988418430 407263481770 761976836860 814526963540 1181064097133 1523953673720 1629053927080 2362128194266 4724256388532 5905320485665 9448512777064 11810640971330 23621281942660 47242563885320