Search a number
-
+
2888072276112 = 2433157229185947
BaseRepresentation
bin101010000001101110100…
…001011010100010010000
3101020002121201111210001000
4222001232201122202100
5334304233000313422
610050432335542000
7415441060205262
oct52015641324220
911202551453030
102888072276112
11a13908565131
123a788968a900
1317c461b4349a
149dad7aadb32
15501d32b3cac
hex2a06e85a890

2888072276112 has 160 divisors (see below), whose sum is σ = 8379114396800. Its totient is φ = 952376735232.

The previous prime is 2888072276107. The next prime is 2888072276153. The reversal of 2888072276112 is 2116722708882.

2888072276112 is a `hidden beast` number, since 288 + 80 + 7 + 2 + 276 + 1 + 12 = 666.

It is a super-2 number, since 2×28880722761122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15438723 + ... + 15624669.

It is an arithmetic number, because the mean of its divisors is an integer number (52369464980).

Almost surely, 22888072276112 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 2888072276112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189557198400).

2888072276112 is an abundant number, since it is smaller than the sum of its proper divisors (5491042120688).

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

2888072276112 is a wasteful number, since it uses less digits than its factorization.

2888072276112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186350 (or 186338 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 2888072276112 in words is "two trillion, eight hundred eighty-eight billion, seventy-two million, two hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 229 314 432 458 471 628 687 916 942 1256 1374 1413 1832 1884 2061 2512 2748 2826 3664 3768 4122 4239 5496 5652 6183 7536 8244 8478 10992 11304 12366 16488 16956 22608 24732 32976 33912 35953 49464 67824 71906 98928 107859 143812 185947 215718 287624 323577 371894 431436 557841 575248 647154 743788 862872 970731 1115682 1294308 1487576 1673523 1725744 1941462 2231364 2588616 2975152 3347046 3882924 4462728 5020569 5177232 6694092 7765848 8925456 10041138 13388184 15531696 20082276 26776368 29193679 40164552 42581863 58387358 80329104 85163726 87581037 116774716 127745589 170327452 175162074 233549432 255491178 262743111 340654904 350324148 383236767 467098864 510982356 525486222 681309808 700648296 766473534 788229333 1021964712 1050972444 1149710301 1401296592 1532947068 1576458666 2043929424 2101944888 2299420602 3065894136 3152917332 4203889776 4598841204 6131788272 6305834664 6685352491 9197682408 12611669328 13370704982 18395364816 20056057473 26741409964 40112114946 53482819928 60168172419 80224229892 106965639856 120336344838 160448459784 180504517257 240672689676 320896919568 361009034514 481345379352 722018069028 962690758704 1444036138056 2888072276112