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2138986784 = 2511171492399
BaseRepresentation
bin111111101111110…
…0101100100100000
312112001212210020202
41333133211210200
513340040034114
6552125524332
7104002042034
oct17737454440
95461783222
102138986784
119a8447480
124b84136a8
132811bb46c
141641181c4
15c7bb8cde
hex7f7e5920

2138986784 has 96 divisors (see below), whose sum is σ = 4898880000. Its totient is φ = 908554240.

The previous prime is 2138986783. The next prime is 2138986789. The reversal of 2138986784 is 4876898312.

It is not an unprimeable number, because it can be changed into a prime (2138986783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890417 + ... + 892815.

It is an arithmetic number, because the mean of its divisors is an integer number (51030000).

Almost surely, 22138986784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138986784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440000).

2138986784 is an abundant number, since it is smaller than the sum of its proper divisors (2759893216).

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

2138986784 is a wasteful number, since it uses less digits than its factorization.

2138986784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2578 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 56.

The square root of 2138986784 is about 46249.1814414050. The cubic root of 2138986784 is about 1288.4553319849.

The spelling of 2138986784 in words is "two billion, one hundred thirty-eight million, nine hundred eighty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 149 176 187 272 298 352 374 544 596 748 1192 1496 1639 2384 2399 2533 2992 3278 4768 4798 5066 5984 6556 9596 10132 13112 19192 20264 26224 26389 27863 38384 40528 40783 52448 52778 55726 76768 81056 81566 105556 111452 163132 211112 222904 326264 357451 422224 445808 448613 652528 714902 844448 891616 897226 1305056 1429804 1794452 2859608 3588904 3931961 5719216 6076667 7177808 7863922 11438432 12153334 14355616 15727844 24306668 31455688 48613336 62911376 66843337 97226672 125822752 133686674 194453344 267373348 534746696 1069493392 2138986784