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2138146212477 = 3111931711549351
BaseRepresentation
bin11111000111010011011…
…100100000101001111101
321120101221002022120022010
4133013103130200221331
5240012410412244402
64314130101441433
7310322153636022
oct37072334405175
97511832276263
102138146212477
11754867882a20
122a6478a10279
1312681b052c72
14756b5c03549
153a9410bda6c
hex1f1d3720a7d

2138146212477 has 64 divisors (see below), whose sum is σ = 3426918727680. Its totient is φ = 1171308600000.

The previous prime is 2138146212473. The next prime is 2138146212487. The reversal of 2138146212477 is 7742126418312.

It is not a de Polignac number, because 2138146212477 - 22 = 2138146212473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138146212473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605352 + ... + 2154702.

It is an arithmetic number, because the mean of its divisors is an integer number (53545605120).

Almost surely, 22138146212477 is an apocalyptic number.

It is an amenable number.

2138146212477 is a deficient number, since it is larger than the sum of its proper divisors (1288772515203).

2138146212477 is a wasteful number, since it uses less digits than its factorization.

2138146212477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549486.

The product of its digits is 903168, while the sum is 48.

The spelling of 2138146212477 in words is "two trillion, one hundred thirty-eight billion, one hundred forty-six million, two hundred twelve thousand, four hundred seventy-seven".

Divisors: 1 3 11 19 31 33 57 71 93 209 213 341 589 627 781 1023 1349 1767 2201 2343 4047 6479 6603 14839 19437 24211 41819 44517 72633 125457 460009 1380027 1549351 4648053 17042861 29437669 48029881 51128583 88313007 110003921 144089643 323814359 330011763 528328691 912567739 971443077 1210043131 1584986073 2090074499 2737703217 3410121551 3630129393 6270223497 10038245129 10230364653 22990819489 30114735387 37511337061 64792309469 68972458467 112534011183 194376928407 712715404159 2138146212477