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2685063168 = 212348093
BaseRepresentation
bin1010000000001010…
…1101000000000000
320221010102100020000
42200002231000000
520444334010133
61122234120000
7123352442334
oct24002550000
96833370200
102685063168
111158714777
1262b280000
1333a386a98
141b68657c4
1510aad4413
hexa00ad000

2685063168 has 130 divisors (see below), whose sum is σ = 8022052434. Its totient is φ = 894910464.

The previous prime is 2685063167. The next prime is 2685063179. The reversal of 2685063168 is 8613605862.

2685063168 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 0 + 631 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2230861824 + 454201344 = 47232^2 + 21312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685063167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 327730 + ... + 335822.

Almost surely, 22685063168 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 2685063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011026217).

2685063168 is an abundant number, since it is smaller than the sum of its proper divisors (5336989266).

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

2685063168 is an frugal number, since it uses more digits than its factorization.

2685063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8129 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2685063168 is about 51817.5951584016. The cubic root of 2685063168 is about 1389.9040991062.

The spelling of 2685063168 in words is "two billion, six hundred eighty-five million, sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8093 9216 10368 12288 13824 16186 18432 20736 24279 27648 32372 36864 41472 48558 55296 64744 72837 82944 97116 110592 129488 145674 165888 194232 218511 258976 291348 331776 388464 437022 517952 582696 655533 776928 874044 1035904 1165392 1311066 1553856 1748088 2071808 2330784 2622132 3107712 3496176 4143616 4661568 5244264 6215424 6992352 8287232 9323136 10488528 12430848 13984704 16574464 18646272 20977056 24861696 27969408 33148928 37292544 41954112 49723392 55938816 74585088 83908224 99446784 111877632 149170176 167816448 223755264 298340352 335632896 447510528 671265792 895021056 1342531584 2685063168