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2138683703765 = 574159671812083
BaseRepresentation
bin11111000111110011011…
…110111000000111010101
321120110022112200221201212
4133013303132320013111
5240020011012010030
64314255302031205
7310341401352020
oct37076336700725
97513275627655
102138683703765
117550132170a4
122a65a8a18505
131268a5503a4b
14757273581b7
153a973390595
hex1f1f37b81d5

2138683703765 has 128 divisors (see below), whose sum is σ = 3119750000640. Its totient is φ = 1377198028800.

The previous prime is 2138683703713. The next prime is 2138683703791. The reversal of 2138683703765 is 5673073868312.

It is not a de Polignac number, because 2138683703765 - 214 = 2138683687381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1026731414 + ... + 1026733496.

It is an arithmetic number, because the mean of its divisors is an integer number (24373046880).

Almost surely, 22138683703765 is an apocalyptic number.

It is an amenable number.

2138683703765 is a deficient number, since it is larger than the sum of its proper divisors (981066296875).

2138683703765 is a wasteful number, since it uses less digits than its factorization.

2138683703765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443.

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 2138683703765 in words is "two trillion, one hundred thirty-eight billion, six hundred eighty-three million, seven hundred three thousand, seven hundred sixty-five".

Divisors: 1 5 7 35 41 59 67 181 205 287 295 335 413 469 905 1267 1435 2065 2083 2345 2419 2747 3953 6335 7421 10415 10679 12095 12127 13735 14581 16933 19229 19765 27671 37105 51947 53395 60635 72905 74753 84665 84889 85403 96145 122897 138355 139561 162073 259735 373765 377023 424445 427015 437839 497207 597821 614485 697805 715493 810365 860279 976927 1134511 1885115 2189195 2486035 2639161 2989105 3064873 3480449 3577465 4301395 4884635 5008451 5038777 5672555 5722001 8234099 13195805 15324365 15457943 17402245 22244357 25042255 25193885 25260541 28610005 29335213 35271439 40054007 41170495 57638693 77289715 108205601 111221785 126302705 146676065 155710499 176357195 176823787 200270035 205346491 288193465 337598059 541028005 778552495 884118935 912018637 1026732455 1035682181 1490371919 1687990295 2363186413 4560093185 5178410905 6384130459 7249775267 7451859595 10432603433 11815932065 31920652295 36248876335 52163017165 61105248679 305526243395 427736740753 2138683703765