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2830277969649 = 3613247932
BaseRepresentation
bin101001001011111001101…
…101101000011011110001
3101000120102221022211000000
4221023321231220123301
5332332402130012044
610004113423220213
7411323632542054
oct51137155503361
911016387284000
102830277969649
119a1350146299
1239863a447669
13176b8135c300
149adb413aa9b
154d94e504d69
hex292f9b686f1

2830277969649 has 63 divisors (see below), whose sum is σ = 4595965175217. Its totient is φ = 1741346133696.

The previous prime is 2830277969587. The next prime is 2830277969669. The reversal of 2830277969649 is 9469697720382.

The square root of 2830277969649 is 1682343.

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

It can be written as a sum of positive squares in 4 ways, for example, as 817559649 + 2829460410000 = 28593^2 + 1682100^2 .

It is a de Polignac number, because none of the positive numbers 2k-2830277969649 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2830277969669) 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 62 ways as a sum of consecutive naturals, for example, 590499997 + ... + 590504789.

Almost surely, 22830277969649 is an apocalyptic number.

2830277969649 is the 1682343-rd square number.

2830277969649 is the 841172-nd centered octagonal number.

It is an amenable number.

2830277969649 is a deficient number, since it is larger than the sum of its proper divisors (1765687205568).

2830277969649 is an frugal number, since it uses more digits than its factorization.

2830277969649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9630 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 2830277969649 in words is "two trillion, eight hundred thirty billion, two hundred seventy-seven million, nine hundred sixty-nine thousand, six hundred forty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 3159 4563 4793 9477 13689 14379 41067 43137 62309 123201 129411 186927 388233 560781 810017 1164699 1682343 2430051 3494097 5047029 7290153 15141087 21870459 22972849 45423261 65611377 68918547 196834131 206755641 298647037 590502393 620266923 895941111 1860800769 2687823333 3882411481 5582402307 8063469999 11647234443 16747206921 24190409997 34941703329 72571229991 104825109987 217713689973 314475329961 943425989883 2830277969649