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2051355648 = 21032329033
BaseRepresentation
bin111101001000101…
…0011010000000000
312021221222122221010
41322101103100000
513200121340043
6535315400520
7101556143466
oct17221232000
95257878833
102051355648
11962a33951
12492bb3140
13268cb8814
14156626836
15c0159133
hex7a453400

2051355648 has 88 divisors (see below), whose sum is σ = 5705529408. Its totient is φ = 654032896.

The previous prime is 2051355613. The next prime is 2051355659. The reversal of 2051355648 is 8465531502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56140 + ... + 85172.

Almost surely, 22051355648 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 2051355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852764704).

2051355648 is an abundant number, since it is smaller than the sum of its proper divisors (3654173760).

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

2051355648 is a wasteful number, since it uses less digits than its factorization.

2051355648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29079 (or 29061 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 2051355648 is about 45291.8938442631. The cubic root of 2051355648 is about 1270.6140515371.

The spelling of 2051355648 in words is "two billion, fifty-one million, three hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2208 2944 3072 4416 5888 8832 11776 17664 23552 29033 35328 58066 70656 87099 116132 174198 232264 348396 464528 667759 696792 929056 1335518 1393584 1858112 2003277 2671036 2787168 3716224 4006554 5342072 5574336 7432448 8013108 10684144 11148672 14864896 16026216 21368288 22297344 29729792 32052432 42736576 44594688 64104864 85473152 89189376 128209728 170946304 256419456 341892608 512838912 683785216 1025677824 2051355648