Search a number
-
+
200557978569 = 32132114832
BaseRepresentation
bin1011101011001000101…
…1111110001111001001
3201011200020012221012100
42322302023332033021
511241220320303234
6232045101304013
720330004455454
oct2726213761711
9634606187170
10200557978569
1178068828813
1232a52565009
1315bb2ac4100
1499c824a49b
15533c441399
hex2eb22fe3c9

200557978569 has 27 divisors (see below), whose sum is σ = 313720568967. Its totient is φ = 123409546416.

The previous prime is 200557978561. The next prime is 200557978583. The reversal of 200557978569 is 965879755002.

The square root of 200557978569 is 447837.

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

200557978569 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 579 + 7 + 8 + 56 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29668340025 + 170889638544 = 172245^2 + 413388^2 .

It is not a de Polignac number, because 200557978569 - 23 = 200557978561 is a prime.

It is a super-2 number, since 2×2005579785692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200557978561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17459902 + ... + 17471384.

Almost surely, 2200557978569 is an apocalyptic number.

200557978569 is the 447837-th square number.

200557978569 is the 223919-th centered octagonal number.

It is an amenable number.

200557978569 is a deficient number, since it is larger than the sum of its proper divisors (113162590398).

200557978569 is an frugal number, since it uses more digits than its factorization.

200557978569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22998 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 200557978569 in words is "two hundred billion, five hundred fifty-seven million, nine hundred seventy-eight thousand, five hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 11483 34449 103347 149279 447837 1343511 1940627 5821881 17465643 131859289 395577867 1186733601 1714170757 5142512271 15427536813 22284219841 66852659523 200557978569