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2708786013921 = 3101325212
BaseRepresentation
bin100111011010110000001…
…110100110011011100001
3100120221211221210000000000
4213122300032212123201
5323340043204421141
65432222113050213
7366463146134361
oct47326016463341
910527757700000
102708786013921
119548760a5809
12378b92b56969
1316858c03b300
149516a9c69a1
154a6dd5935b6
hex276b03a66e1

2708786013921 has 99 divisors (see below), whose sum is σ = 4408209920217. Its totient is φ = 1663745728320.

The previous prime is 2708786013887. The next prime is 2708786013991. The reversal of 2708786013921 is 1293106878072.

It is a happy number.

The square root of 2708786013921 is 1645839.

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

2708786013921 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 7 + 8 + 601 + 3 + 9 + 21 = 666.

2708786013921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 891239843025 + 1817546170896 = 944055^2 + 1348164^2 .

It is not a de Polignac number, because 2708786013921 - 213 = 2708786005729 is a prime.

It is a Smith number, since the sum of its digits (54) 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 (2708786013991) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 5199205141 + ... + 5199205661.

Almost surely, 22708786013921 is an apocalyptic number.

2708786013921 is the 1645839-th square number.

2708786013921 is the 822920-th centered octagonal number.

It is an amenable number.

2708786013921 is a deficient number, since it is larger than the sum of its proper divisors (1699423906296).

2708786013921 is an frugal number, since it uses more digits than its factorization.

2708786013921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2708786013921 in words is "two trillion, seven hundred eight billion, seven hundred eighty-six million, thirteen thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 521 729 1053 1521 1563 2187 3159 4563 4689 6561 6773 9477 13689 14067 19683 20319 28431 41067 42201 59049 60957 85293 88049 123201 126603 182871 255879 264147 271441 369603 379809 548613 767637 792441 814323 1108809 1139427 1645839 2377323 2442969 3326427 3418281 3528733 4937517 7131969 7328907 9979281 10254843 10586199 14812551 21395907 21986721 30764529 31758597 44437653 45873529 64187721 65960163 95275791 133312959 137620587 192563163 197880489 285827373 399938877 412861761 577689489 593641467 857482119 1238585283 1733068467 1780924401 2572446357 3715755849 5199205401 5342773203 7717339071 11147267547 16028319609 23152017213 33441802641 69456051639 100325407923 208368154917 300976223769 902928671307 2708786013921