Search a number
-
+
2800086311385 = 3251126110338161
BaseRepresentation
bin101000101111110010001…
…001100110000111011001
3100220200111211101122220200
4220233302021212013121
5331334034043431020
65542201503212413
7406204514640546
oct50576211460731
910820454348820
102800086311385
1198a5677a7600
123928132a7109
1317407c370a6c
149974c481bcd
154cc83b6d590
hex28bf22661d9

2800086311385 has 144 divisors (see below), whose sum is σ = 5428190271504. Its totient is φ = 1333905408000.

The previous prime is 2800086311371. The next prime is 2800086311401. The reversal of 2800086311385 is 5831136800082.

2800086311385 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 0 + 8 + 631 + 1 + 3 + 8 + 5 = 666.

2800086311385 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 54341204544 + 2745745106841 = 233112^2 + 1657029^2 .

It is not a de Polignac number, because 2800086311385 - 217 = 2800086180313 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2800086311385.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343101705 + ... + 343109865.

Almost surely, 22800086311385 is an apocalyptic number.

It is an amenable number.

2800086311385 is a deficient number, since it is larger than the sum of its proper divisors (2628103960119).

2800086311385 is a wasteful number, since it uses less digits than its factorization.

2800086311385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2800086311385 in words is "two trillion, eight hundred billion, eighty-six million, three hundred eleven thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 61 99 121 165 183 305 363 495 549 605 671 915 1033 1089 1815 2013 2745 3099 3355 5165 5445 6039 7381 8161 9297 10065 11363 15495 22143 24483 30195 34089 36905 40805 46485 56815 63013 66429 73449 89771 102267 110715 122415 124993 170445 189039 269313 315065 332145 367245 374979 448855 497821 511335 567117 624965 693143 807939 945195 987481 1124937 1346565 1493463 1874895 2079429 2489105 2835585 2962443 3465715 4039695 4480389 4937405 5476031 5624685 6238287 7467315 7624573 8430313 8887329 10397145 14812215 16428093 22401945 22873719 25290939 27380155 31191435 38122865 42151565 44436645 49284279 60236341 68621157 75872817 82140465 92733443 114368595 126454695 180709023 246421395 278200329 301181705 343105785 379364085 463667215 514249093 542127069 834600987 903545115 1020067873 1391001645 1542747279 2571245465 2710635345 3060203619 4173004935 4628241837 5100339365 5656740023 7713736395 9180610857 15301018095 16970220069 23141209185 28283700115 45903054285 50910660207 62224140253 84851100345 186672420759 254553301035 311120701265 560017262277 933362103795 2800086311385