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2870512893952 = 2141137342701
BaseRepresentation
bin101001110001010111111…
…001101100000000000000
3101011102021222102202001121
4221301113321230000000
5334012302300101302
610034410113242024
7414246662005264
oct51612771540000
911142258382047
102870512893952
11a07417770450
123a43a8b63314
1317a8c3ca6322
149cd0d9bc0a4
154ea06943e37
hex29c57e6c000

2870512893952 has 120 divisors (see below), whose sum is σ = 6279683355792. Its totient is φ = 1301250048000.

The previous prime is 2870512893947. The next prime is 2870512894027. The reversal of 2870512893952 is 2593982150782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67202202 + ... + 67244902.

Almost surely, 22870512893952 is an apocalyptic number.

2870512893952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870512893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139841677896).

2870512893952 is an abundant number, since it is smaller than the sum of its proper divisors (3409170461840).

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

2870512893952 is an equidigital number, since it uses as much as digits as its factorization.

2870512893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43113 (or 43087 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 2870512893952 in words is "two trillion, eight hundred seventy billion, five hundred twelve million, eight hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 373 512 704 746 1024 1408 1492 2048 2816 2984 4096 4103 5632 5968 8192 8206 11264 11936 16384 16412 22528 23872 32824 42701 45056 47744 65648 85402 90112 95488 131296 170804 180224 190976 262592 341608 381952 469711 525184 683216 763904 939422 1050368 1366432 1527808 1878844 2100736 2732864 3055616 3757688 4201472 5465728 6111232 7515376 8402944 10931456 15030752 15927473 16805888 21862912 30061504 31854946 33611776 43725824 60123008 63709892 67223552 87451648 120246016 127419784 174903296 175202203 240492032 254839568 349806592 350404406 480984064 509679136 699613184 700808812 961968128 1019358272 1401617624 1923936256 2038716544 2803235248 3847872512 4077433088 5606470496 7695745024 8154866176 11212940992 16309732352 22425881984 32619464704 44851763968 65238929408 89703527936 130477858816 179407055872 260955717632 358814111744 717628223488 1435256446976 2870512893952