Search a number
-
+
199762514704 = 2429238532
BaseRepresentation
bin1011101000001011000…
…1100001001100010000
3201002121210102011220201
42322002301201030100
511233103200432304
6231434123544544
720301205234024
oct2720261411420
9632553364821
10199762514704
117779a805a65
123287008b154
1315ab706bb2c
149950742384
1552e26b33a4
hex2e82c61310

199762514704 has 45 divisors (see below), whose sum is σ = 400950350463. Its totient is φ = 96412046976.

The previous prime is 199762514641. The next prime is 199762514723. The reversal of 199762514704 is 407415267991.

The square root of 199762514704 is 446948.

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

199762514704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 85486064400 + 114276450304 = 292380^2 + 338048^2 .

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, 51844042 + ... + 51847894.

Almost surely, 2199762514704 is an apocalyptic number.

199762514704 is the 446948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199762514704

199762514704 is an abundant number, since it is smaller than the sum of its proper divisors (201187835759).

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

199762514704 is an frugal number, since it uses more digits than its factorization.

199762514704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 199762514704 in words is "one hundred ninety-nine billion, seven hundred sixty-two million, five hundred fourteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 3853 6728 7706 13456 15412 30824 61648 111737 223474 446948 893896 1787792 3240373 6480746 12961492 14845609 25922984 29691218 51845968 59382436 118764872 237529744 430522661 861045322 1722090644 3444181288 6888362576 12485157169 24970314338 49940628676 99881257352 199762514704