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379077870249 = 32132157872
BaseRepresentation
bin1011000010000101100…
…11010100001010101001
31100020110120220001112100
411201002303110022221
522202322413321444
6450051310204013
736246621506121
oct5410263241251
91306416801470
10379077870249
11136847636681
12615744b3609
1329992bbc400
14144c163dc81
159cd9c2de69
hex5842cd42a9

379077870249 has 27 divisors (see below), whose sum is σ = 592954228503. Its totient is φ = 233263912752.

The previous prime is 379077870221. The next prime is 379077870251. The reversal of 379077870249 is 942078770973.

The square root of 379077870249 is 615693.

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., 56076608025 + 323001262224 = 236805^2 + 568332^2 .

It is not a de Polignac number, because 379077870249 - 219 = 379077345961 is a prime.

It is a super-3 number, since 3×3790778702493 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (379077870209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24004134 + ... + 24019920.

Almost surely, 2379077870249 is an apocalyptic number.

379077870249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

379077870249 is the 615693-rd square number.

379077870249 is the 307847-th centered octagonal number.

It is an amenable number.

379077870249 is a deficient number, since it is larger than the sum of its proper divisors (213876358254).

379077870249 is an frugal number, since it uses more digits than its factorization.

379077870249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31606 (or 15803 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 379077870249 in words is "three hundred seventy-nine billion, seventy-seven million, eight hundred seventy thousand, two hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 15787 47361 142083 205231 615693 1847079 2668003 8004009 24012027 249229369 747688107 2243064321 3239981797 9719945391 29159836173 42119763361 126359290083 379077870249