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2685806378649 = 324725921972
BaseRepresentation
bin100111000101010110100…
…010001111111010011001
3100111202112110112120120100
4213011112202033322121
5323001012413104044
65413501543450013
7365020533353232
oct47052642177231
910452473476510
102685806378649
119460537556a9
1237463b156909
1316636925c5a4
1493dcaaba089
1549ce5e57869
hex2715688fe99

2685806378649 has 81 divisors (see below), whose sum is σ = 4052690034367. Its totient is φ = 1713993784608.

The previous prime is 2685806378581. The next prime is 2685806378657. The reversal of 2685806378649 is 9468736085862.

The square root of 2685806378649 is 1638843.

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

2685806378649 is a `hidden beast` number, since 2 + 6 + 8 + 580 + 6 + 37 + 8 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2631549062025 + 54257316624 = 1622205^2 + 232932^2 .

It is not a de Polignac number, because 2685806378649 - 217 = 2685806247577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2685806378669) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13633534819 + ... + 13633535015.

Almost surely, 22685806378649 is an apocalyptic number.

2685806378649 is the 1638843-rd square number.

2685806378649 is the 819422-nd centered octagonal number.

It is an amenable number.

2685806378649 is a deficient number, since it is larger than the sum of its proper divisors (1366883655718).

2685806378649 is an frugal number, since it uses more digits than its factorization.

2685806378649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 2685806378649 in words is "two trillion, six hundred eighty-five billion, eight hundred six million, three hundred seventy-eight thousand, six hundred forty-nine".

Divisors: 1 3 9 47 59 141 177 197 423 531 591 1773 2209 2773 3481 6627 8319 9259 10443 11623 19881 24957 27777 31329 34869 38809 83331 104607 116427 130331 163607 349281 390993 435173 490821 546281 685757 1172979 1305519 1472463 1638843 1824023 2057271 2289731 3916557 4916529 5472069 6171813 6869193 7689529 16416207 20607579 23068587 25675207 32230579 69205761 77025621 85729081 96691737 107617357 135094129 231076863 257187243 290075211 322852071 405282387 771561729 968556213 1215847161 1514837213 4544511639 5058015779 6349424063 13633534917 15174047337 19048272189 45522142011 57144816567 298422930961 895268792883 2685806378649