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186980137744 = 2417263592
BaseRepresentation
bin1010111000100011100…
…0100111101100010000
3122212121222010011010211
42232020320213230100
511030413403401434
6221521505133504
716336353642631
oct2561070475420
9585558104124
10186980137744
117233045aa64
12302a332a294
131482aab497a
14909ac65888
154ce53ec464
hex2b88e27b10

186980137744 has 45 divisors (see below), whose sum is σ = 384898324597. Its totient is φ = 87976815872.

The previous prime is 186980137709. The next prime is 186980137789. The reversal of 186980137744 is 447731089681.

It is a happy number.

The square root of 186980137744 is 432412.

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., 145572771600 + 41407366144 = 381540^2 + 203488^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 29400837 + ... + 29407195.

Almost surely, 2186980137744 is an apocalyptic number.

186980137744 is the 432412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186980137744

186980137744 is an abundant number, since it is smaller than the sum of its proper divisors (197918186853).

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

186980137744 is an frugal number, since it uses more digits than its factorization.

186980137744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 186980137744 in words is "one hundred eighty-six billion, nine hundred eighty million, one hundred thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 6359 12718 25436 50872 101744 108103 216206 432412 864824 1729648 1837751 3675502 7351004 14702008 29404016 40436881 80873762 161747524 323495048 646990096 687426977 1374853954 2749707908 5499415816 10998831632 11686258609 23372517218 46745034436 93490068872 186980137744