Search a number
-
+
431980246880 = 25571329668973
BaseRepresentation
bin1100100100101000000…
…01110111011101100000
31112022000110001020101222
412102110001313131200
524034143420400010
6530240551514212
743131605341250
oct6222401673540
91468013036358
10431980246880
111572246511a6
126b879388968
1331974052850
1416c9d603960
15b3842d2355
hex6494077760

431980246880 has 96 divisors (see below), whose sum is σ = 1256065683264. Its totient is φ = 136714622976.

The previous prime is 431980246877. The next prime is 431980246969. The reversal of 431980246880 is 88642089134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14819927 + ... + 14849046.

It is an arithmetic number, because the mean of its divisors is an integer number (13084017534).

Almost surely, 2431980246880 is an apocalyptic number.

431980246880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431980246880 is an abundant number, since it is smaller than the sum of its proper divisors (824085436384).

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

431980246880 is a wasteful number, since it uses less digits than its factorization.

431980246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29669008 (or 29669000 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

The spelling of 431980246880 in words is "four hundred thirty-one billion, nine hundred eighty million, two hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 29668973 59337946 118675892 148344865 207682811 237351784 296689730 385696649 415365622 474703568 593379460 771393298 830731244 949407136 1038414055 1186758920 1542786596 1661462488 1928483245 2076828110 2373517840 2699876543 3085573192 3322924976 3856966490 4153656220 4747035680 5399753086 6171146384 6645849952 7713932980 8307312440 10799506172 12342292768 13499382715 15427865960 16614624880 21599012344 26998765430 30855731920 33229249760 43198024688 53997530860 61711463840 86396049376 107995061720 215990123440 431980246880