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137319901489 = 263214092
BaseRepresentation
bin111111111100011100…
…1110110100100110001
3111010110001121202202101
41333320321312210301
54222212343321424
6143030042020401
712630625622011
oct1777071664461
9433401552671
10137319901489
11532675604a1
12227441a7701
13cc45555ba4
1469096d9c41
15388a7bd344
hex1ff8e76931

137319901489 has 9 divisors (see below), whose sum is σ = 137941916203. Its totient is φ = 136700684032.

The previous prime is 137319901487. The next prime is 137319901507. The reversal of 137319901489 is 984109913731.

The square root of 137319901489 is 370567.

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., 1748661489 + 135571240000 = 41817^2 + 368200^2 .

It is not a de Polignac number, because 137319901489 - 21 = 137319901487 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137319901487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 97458417 + ... + 97459825.

Almost surely, 2137319901489 is an apocalyptic number.

137319901489 is the 370567-th square number.

137319901489 is the 185284-th centered octagonal number.

It is an amenable number.

137319901489 is a deficient number, since it is larger than the sum of its proper divisors (622014714).

137319901489 is an frugal number, since it uses more digits than its factorization.

137319901489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 55.

The spelling of 137319901489 in words is "one hundred thirty-seven billion, three hundred nineteen million, nine hundred one thousand, four hundred eighty-nine".

Divisors: 1 263 1409 69169 370567 1985281 97459121 522128903 137319901489