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188738982481 = 7253211712
BaseRepresentation
bin1010111111000110111…
…0000101001001010001
3200001011112200201112111
42233301232011021101
511043014134414411
6222412215225321
716431061611100
oct2576156051121
9601145621474
10188738982481
1173053265055
12306b4378241
1314a4b2c53ba
1491c66a8037
154d99a26721
hex2bf1b85251

188738982481 has 27 divisors (see below), whose sum is σ = 223965449883. Its totient is φ = 158588342640.

The previous prime is 188738982473. The next prime is 188738982511. The reversal of 188738982481 is 184289837881.

The square root of 188738982481 is 434441.

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

188738982481 is digitally balanced in base 2, 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 only one way, i.e., 136061388225 + 52677594256 = 368865^2 + 229516^2 .

It is not a de Polignac number, because 188738982481 - 23 = 188738982473 is a prime.

It is a super-2 number, since 2×1887389824812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (188738982431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161177026 + ... + 161178196.

Almost surely, 2188738982481 is an apocalyptic number.

188738982481 is the 434441-st square number.

188738982481 is the 217221-st centered octagonal number.

It is an amenable number.

188738982481 is a deficient number, since it is larger than the sum of its proper divisors (35226467402).

188738982481 is an frugal number, since it uses more digits than its factorization.

188738982481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 1231 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 67.

The spelling of 188738982481 in words is "one hundred eighty-eight billion, seven hundred thirty-eight million, nine hundred eighty-two thousand, four hundred eighty-one".

Divisors: 1 7 49 53 371 1171 2597 2809 8197 19663 57379 62063 137641 434441 1371241 3041087 3289339 9598687 23025373 67190809 72675773 161177611 508730411 3561112877 3851815969 26962711783 188738982481