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2068890752 = 27173732549
BaseRepresentation
bin111101101010000…
…1100010010000000
312100011222112120102
41323110030102000
513214114001002
6541143301532
7102161165315
oct17324142200
95304875512
102068890752
11971920275
12498a4a8a8
1326c818016
14158aacd0c
15c196ea02
hex7b50c480

2068890752 has 64 divisors (see below), whose sum is σ = 4377483000. Its totient is φ = 970604544.

The previous prime is 2068890749. The next prime is 2068890757. The reversal of 2068890752 is 2570988602.

It can be written as a sum of positive squares in 4 ways, for example, as 2066975296 + 1915456 = 45464^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20688907522 = 8560617887422251008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2068890697 and 2068890706.

It is not an unprimeable number, because it can be changed into a prime (2068890757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810374 + ... + 812922.

Almost surely, 22068890752 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 2068890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188741500).

2068890752 is an abundant number, since it is smaller than the sum of its proper divisors (2308592248).

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

2068890752 is a wasteful number, since it uses less digits than its factorization.

2068890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 2068890752 is about 45485.0607562527. The cubic root of 2068890752 is about 1274.2242112824.

The spelling of 2068890752 in words is "two billion, sixty-eight million, eight hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 373 544 746 1088 1492 2176 2549 2984 5098 5968 6341 10196 11936 12682 20392 23872 25364 40784 43333 47744 50728 81568 86666 101456 163136 173332 202912 326272 346664 405824 693328 811648 950777 1386656 1901554 2773312 3803108 5546624 7606216 15212432 16163209 30424864 32326418 60849728 64652836 121699456 129305672 258611344 517222688 1034445376 2068890752