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2697063168 = 28323179853
BaseRepresentation
bin1010000011000001…
…1110101100000000
320221222000000010110
42200300132230000
521010422010133
61123343231320
7123556441632
oct24060365400
96858000113
102697063168
111164470528
126332a8540
1333c9c8a87
141b82aaa52
1510bba4c63
hexa0c1eb00

2697063168 has 144 divisors (see below), whose sum is σ = 7540888320. Its totient is φ = 854126592.

The previous prime is 2697063139. The next prime is 2697063169. The reversal of 2697063168 is 8613607962.

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 (2697063169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3161430 + ... + 3162282.

It is an arithmetic number, because the mean of its divisors is an integer number (52367280).

Almost surely, 22697063168 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 2697063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770444160).

2697063168 is an abundant number, since it is smaller than the sum of its proper divisors (4843825152).

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

2697063168 is a wasteful number, since it uses less digits than its factorization.

2697063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2697063168 is about 51933.2568591649. The cubic root of 2697063168 is about 1391.9715940828.

The spelling of 2697063168 in words is "two billion, six hundred ninety-seven million, sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 179 184 192 256 276 358 368 384 537 552 716 736 768 853 1074 1104 1432 1472 1706 2148 2208 2559 2864 2944 3412 4117 4296 4416 5118 5728 5888 6824 8234 8592 8832 10236 11456 12351 13648 16468 17184 17664 19619 20472 22912 24702 27296 32936 34368 39238 40944 45824 49404 54592 58857 65872 68736 78476 81888 98808 109184 117714 131744 137472 152687 156952 163776 197616 218368 235428 263488 305374 313904 327552 395232 458061 470856 526976 610748 627808 655104 790464 916122 941712 1053952 1221496 1255616 1580928 1832244 1883424 2442992 2511232 3161856 3511801 3664488 3766848 4885984 5022464 7023602 7328976 7533696 9771968 10535403 14047204 14657952 15067392 19543936 21070806 28094408 29315904 39087872 42141612 56188816 58631808 84283224 112377632 117263616 168566448 224755264 337132896 449510528 674265792 899021056 1348531584 2697063168