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13406397796 = 221121922772
BaseRepresentation
bin11000111110001010…
…10110010101100100
31021121022111120102201
430133011112111210
5204424014212141
610054145344244
7653136333601
oct143705262544
937538446381
1013406397796
11575a620100
122721938084
13135864337c
149127176a8
15536e7b031
hex31f156564

13406397796 has 81 divisors (see below), whose sum is σ = 27315229977. Its totient is φ = 5752248480.

The previous prime is 13406397773. The next prime is 13406397841. The reversal of 13406397796 is 69779360431.

It is a happy number.

The square root of 13406397796 is 115786.

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

13406397796 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 only one way, i.e., 2310724900 + 11095672896 = 48070^2 + 105336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48398410 + ... + 48398686.

Almost surely, 213406397796 is an apocalyptic number.

13406397796 is the 115786-th square number.

It is an amenable number.

13406397796 is an abundant number, since it is smaller than the sum of its proper divisors (13908832181).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13406397796 is a wasteful number, since it uses less digits than its factorization.

13406397796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 55.

The spelling of 13406397796 in words is "thirteen billion, four hundred six million, three hundred ninety-seven thousand, seven hundred ninety-six".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 277 361 418 484 554 722 836 1108 1444 2299 3047 3971 4598 5263 6094 7942 9196 10526 12188 15884 21052 33517 43681 57893 67034 76729 87362 99997 115786 134068 153458 174724 199994 231572 306916 399988 636823 844019 1099967 1273646 1457851 1688038 2199934 2547292 2915702 3376076 4399868 5831404 9284209 12099637 16036361 18568418 24199274 27699169 32072722 37136836 48398548 55398338 64145444 110796676 176399971 304690859 352799942 609381718 705599884 1218763436 3351599449 6703198898 13406397796