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2743319134272 = 263136718475659
BaseRepresentation
bin100111111010111010100…
…100000000000001000000
3100201020222121221021110110
4213322322210000001000
5324421304144244042
65500132521431320
7402125001616503
oct47727244000100
910636877837413
102743319134272
119684871511a2
1238381003b540
1316b903605232
1496ac50bd13a
154b56014e09c
hex27eba900040

2743319134272 has 112 divisors (see below), whose sum is σ = 7268891857920. Its totient is φ = 913114655232.

The previous prime is 2743319134271. The next prime is 2743319134273. The reversal of 2743319134272 is 2724319133472.

It is an interprime number because it is at equal distance from previous prime (2743319134271) and next prime (2743319134273).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2743319134271) 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, 484768179 + ... + 484773837.

It is an arithmetic number, because the mean of its divisors is an integer number (64900820160).

Almost surely, 22743319134272 is an apocalyptic number.

It is an amenable number.

2743319134272 is an abundant number, since it is smaller than the sum of its proper divisors (4525572723648).

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

2743319134272 is a wasteful number, since it uses less digits than its factorization.

2743319134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8878 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The spelling of 2743319134272 in words is "two trillion, seven hundred forty-three billion, three hundred nineteen million, one hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1367 1847 2734 3694 4101 5468 5541 5659 7388 8202 10936 11082 11318 14776 16404 16977 21872 22164 22636 29552 32808 33954 43744 44328 45272 59104 65616 67908 87488 88656 90544 118208 131232 135816 177312 181088 262464 271632 354624 362176 543264 1086528 2524849 5049698 7574547 7735853 10099396 10452173 15149094 15471706 20198792 20904346 23207559 30298188 30943412 31356519 40397584 41808692 46415118 60596376 61886824 62713038 80795168 83617384 92830236 121192752 123773648 125426076 161590336 167234768 185660472 242385504 247547296 250852152 334469536 371320944 484771008 495094592 501704304 668939072 742641888 1003408608 1485283776 2006817216 14288120491 28576240982 42864361473 57152481964 85728722946 114304963928 171457445892 228609927856 342914891784 457219855712 685829783568 914439711424 1371659567136 2743319134272