Search a number
-
+
198580749376 = 2653210512
BaseRepresentation
bin1011100011110001010…
…1011100010001000000
3200222120102201021122111
42320330111130101000
511223143132440001
6231120550345104
720230005343042
oct2707425342100
9628512637574
10198580749376
11772437241a9
12325a035b194
13159592903c9
14987b7dba92
155273a7a851
hex2e3c55c440

198580749376 has 63 divisors (see below), whose sum is σ = 402016536453. Its totient is φ = 97324281600.

The previous prime is 198580749347. The next prime is 198580749427. The reversal of 198580749376 is 673947085891.

The square root of 198580749376 is 445624.

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

It can be written as a sum of positive squares in only one way, i.e., 143156289600 + 55424459776 = 378360^2 + 235424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 188944051 + ... + 188945101.

Almost surely, 2198580749376 is an apocalyptic number.

198580749376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198580749376 is the 445624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198580749376

198580749376 is an abundant number, since it is smaller than the sum of its proper divisors (203435787077).

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

198580749376 is an frugal number, since it uses more digits than its factorization.

198580749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 198580749376 in words is "one hundred ninety-eight billion, five hundred eighty million, seven hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1051 1696 2102 2809 3392 4204 5618 8408 11236 16816 22472 33632 44944 55703 67264 89888 111406 179776 222812 445624 891248 1104601 1782496 2209202 2952259 3564992 4418404 5904518 8836808 11809036 17673616 23618072 35347232 47236144 58543853 70694464 94472288 117087706 188944576 234175412 468350824 936701648 1873403296 3102824209 3746806592 6205648418 12411296836 24822593672 49645187344 99290374688 198580749376