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2733670896 = 2431127718691
BaseRepresentation
bin1010001011110000…
…1000000111110000
321001111212212111020
42202330020013300
521044304432041
61131132015440
7124512550665
oct24274100760
97044785436
102733670896
1111830a4450
12643601580
13347475558
141bd0b9a6c
1510eed6866
hexa2f081f0

2733670896 has 80 divisors (see below), whose sum is σ = 7732207488. Its totient is φ = 825350400.

The previous prime is 2733670843. The next prime is 2733670909. The reversal of 2733670896 is 6980763372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136911 + ... + 155601.

Almost surely, 22733670896 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 2733670896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866103744).

2733670896 is an abundant number, since it is smaller than the sum of its proper divisors (4998536592).

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

2733670896 is a wasteful number, since it uses less digits than its factorization.

2733670896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990 (or 18984 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 2733670896 is about 52284.5187029583. The cubic root of 2733670896 is about 1398.2411408814.

The spelling of 2733670896 in words is "two billion, seven hundred thirty-three million, six hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 277 528 554 831 1108 1662 2216 3047 3324 4432 6094 6648 9141 12188 13296 18282 18691 24376 36564 37382 48752 56073 73128 74764 112146 146256 149528 205601 224292 299056 411202 448584 616803 822404 897168 1233606 1644808 2467212 3289616 4934424 5177407 9868848 10354814 15532221 20709628 31064442 41419256 56951477 62128884 82838512 113902954 124257768 170854431 227805908 248515536 341708862 455611816 683417724 911223632 1366835448 2733670896