Search a number
-
+
198730507264 = 210139312
BaseRepresentation
bin1011100100010101000…
…0101110010000000000
3200222221212111202211221
42321011100232100000
511224000002213024
6231143500244424
720233504304002
oct2710520562000
9628855452757
10198730507264
1177310210553
1232622540714
1315981306043
149893662372
155281cad3e4
hex2e4542e400

198730507264 has 33 divisors (see below), whose sum is σ = 397295460571. Its totient is φ = 99358120960.

The previous prime is 198730507243. The next prime is 198730507279. The reversal of 198730507264 is 462705037891.

The square root of 198730507264 is 445792.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14258379 + ... + 14272309.

It is a 2-persistent number, because it is pandigital, and so is 2⋅198730507264 = 397461014528, but 3⋅198730507264 = 596191521792 is not.

Almost surely, 2198730507264 is an apocalyptic number.

198730507264 is the 445792-nd square number.

It is an amenable number.

198730507264 is a deficient number, since it is larger than the sum of its proper divisors (198564953307).

198730507264 is an frugal number, since it uses more digits than its factorization.

198730507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27882 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 198730507264 in words is "one hundred ninety-eight billion, seven hundred thirty million, five hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 13931 27862 55724 111448 222896 445792 891584 1783168 3566336 7132672 14265344 194072761 388145522 776291044 1552582088 3105164176 6210328352 12420656704 24841313408 49682626816 99365253632 198730507264