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620693441281 = 37210721992
BaseRepresentation
bin10010000100001000011…
…01100100101100000001
32012100010012012210100101
421002010031210230001
540132140010110111
61153050450322401
762562235125424
oct11020415445401
92170105183311
10620693441281
1121a2642a2291
12a0364b89401
13466b9bb9114
14220826b79bb
151122b912bc1
hex9084364b01

620693441281 has 27 divisors (see below), whose sum is σ = 647192080899. Its totient is φ = 595267448688.

The previous prime is 620693441273. The next prime is 620693441399. The reversal of 620693441281 is 182144396026.

The square root of 620693441281 is 787841.

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., 555405015025 + 65288426256 = 745255^2 + 255516^2 .

It is not a de Polignac number, because 620693441281 - 23 = 620693441273 is a prime.

It is a super-2 number, since 2×6206934412812 (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 (620693441681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3119062420 + ... + 3119062618.

Almost surely, 2620693441281 is an apocalyptic number.

620693441281 is the 787841-st square number.

620693441281 is the 393921-st centered octagonal number.

It is an amenable number.

620693441281 is a deficient number, since it is larger than the sum of its proper divisors (26498639618).

620693441281 is an frugal number, since it uses more digits than its factorization.

620693441281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 620693441281 in words is "six hundred twenty billion, six hundred ninety-three million, four hundred forty-one thousand, two hundred eighty-one".

Divisors: 1 37 107 199 1369 3959 7363 11449 21293 39601 146483 272431 423613 787841 1465237 2278351 4237307 15673681 29150117 54213769 84298987 156780359 453391849 3119062519 5800873283 16775498413 620693441281