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2620406534049 = 32194110113612719
BaseRepresentation
bin100110001000011100011…
…001101000111110100001
3100021111201122012020120200
4212020130121220332201
5320413043033042144
65323444222055413
7360214055014323
oct46103431507641
910244648166520
102620406534049
119203431a1457
12363a28a1a569
13160145b87ba5
1490b85001613
154826961ac69
hex2621c668fa1

2620406534049 has 96 divisors (see below), whose sum is σ = 4126376217600. Its totient is φ = 1596879360000.

The previous prime is 2620406534027. The next prime is 2620406534051. The reversal of 2620406534049 is 9404356040262.

2620406534049 is a `hidden beast` number, since 2 + 6 + 204 + 0 + 65 + 340 + 49 = 666.

It is not a de Polignac number, because 2620406534049 - 211 = 2620406532001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2620406533995 and 2620406534013.

It is not an unprimeable number, because it can be changed into a prime (2620406534069) 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 95 ways as a sum of consecutive naturals, for example, 963737712 + ... + 963740430.

It is an arithmetic number, because the mean of its divisors is an integer number (42983085600).

Almost surely, 22620406534049 is an apocalyptic number.

It is an amenable number.

2620406534049 is a deficient number, since it is larger than the sum of its proper divisors (1505969683551).

2620406534049 is a wasteful number, since it uses less digits than its factorization.

2620406534049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2620406534049 in words is "two trillion, six hundred twenty billion, four hundred six million, five hundred thirty-four thousand, forty-nine".

Divisors: 1 3 9 19 41 57 101 123 171 303 369 779 909 1361 1919 2337 2719 4083 4141 5757 7011 8157 12249 12423 17271 24471 25859 37269 51661 55801 77577 78679 111479 137461 154983 167403 232731 236037 274619 334437 412383 464949 502209 708111 823857 1003311 1060219 1237149 2118101 2471571 2611759 3180657 3700559 5217761 5635901 6354303 7835277 9541971 11101677 11259379 15653283 16907703 19062909 23505831 33305031 33778137 46959849 50723109 70310621 101334411 107082119 151722919 210931863 213928201 321246357 373756459 455168757 632795589 641784603 963739071 1121269377 1365506271 1925353809 2882735461 3363808131 7101372721 8648206383 15324014819 21304118163 25944619149 45972044457 63912354489 137916133371 291156281561 873468844683 2620406534049