Search a number
-
+
391153928929 = 192329172
BaseRepresentation
bin1011011000100101001…
…01110100101011100001
31101101122012010101202221
411230102211310223201
522402040401211204
6455405454111041
740155105352231
oct5542245645341
91341565111687
10391153928929
11140984217265
12639847ab481
132ab68a3436a
1414d093b9cc1
15a294ec5654
hex5b12974ae1

391153928929 has 9 divisors (see below), whose sum is σ = 412837048467. Its totient is φ = 370555622424.

The previous prime is 391153928917. The next prime is 391153928941. The reversal of 391153928929 is 929829351193.

The square root of 391153928929 is 625423.

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

It is an interprime number because it is at equal distance from previous prime (391153928917) and next prime (391153928941).

It can be written as a sum of positive squares in only one way, i.e., 211503411025 + 179650517904 = 459895^2 + 423852^2 .

It is not a de Polignac number, because 391153928929 - 225 = 391120374497 is a prime.

It is a super-2 number, since 2×3911539289292 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (391153928909) 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 8 ways as a sum of consecutive naturals, for example, 11866579 + ... + 11899495.

It is an arithmetic number, because the mean of its divisors is an integer number (45870783163).

Almost surely, 2391153928929 is an apocalyptic number.

391153928929 is the 625423-rd square number.

391153928929 is the 312712-nd centered octagonal number.

It is an amenable number.

391153928929 is a deficient number, since it is larger than the sum of its proper divisors (21683119538).

391153928929 is an frugal number, since it uses more digits than its factorization.

391153928929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65872 (or 32936 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 61.

The spelling of 391153928929 in words is "three hundred ninety-one billion, one hundred fifty-three million, nine hundred twenty-eight thousand, nine hundred twenty-nine".

Divisors: 1 19 361 32917 625423 11883037 1083528889 20587048891 391153928929