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210061152256 = 2121715971889
BaseRepresentation
bin1100001110100010011…
…1101101000000000000
3202002012112010011202011
43003220213231000000
511420201123333011
6240300055302304
721114340222264
oct3035047550000
9662175104664
10210061152256
11810a505386a
123486507a994
1316a6889abc7
14a24a4020a4
1556e68b1621
hex30e89ed000

210061152256 has 104 divisors (see below), whose sum is σ = 445295196360. Its totient is φ = 98738110464.

The previous prime is 210061152253. The next prime is 210061152269. The reversal of 210061152256 is 652251160012.

It can be written as a sum of positive squares in 4 ways, for example, as 27561312256 + 182499840000 = 166016^2 + 427200^2 .

It is a super-4 number, since 4×2100611522564 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210061152253) 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, 111201360 + ... + 111203248.

Almost surely, 2210061152256 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 210061152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222647598180).

210061152256 is an abundant number, since it is smaller than the sum of its proper divisors (235234044104).

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

210061152256 is a wasteful number, since it uses less digits than its factorization.

210061152256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 210061152256 in words is "two hundred ten billion, sixty-one million, one hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1597 1889 2048 2176 3194 3778 4096 4352 6388 7556 8704 12776 15112 17408 25552 27149 30224 32113 34816 51104 54298 60448 64226 69632 102208 108596 120896 128452 204416 217192 241792 256904 408832 434384 483584 513808 817664 868768 967168 1027616 1635328 1737536 1934336 2055232 3016733 3270656 3475072 3868672 4110464 6033466 6541312 6950144 7737344 8220928 12066932 13900288 16441856 24133864 27800576 32883712 48267728 51284461 55601152 65767424 96535456 102568922 111202304 131534848 193070912 205137844 386141824 410275688 772283648 820551376 1544567296 1641102752 3089134592 3282205504 6178269184 6564411008 12356538368 13128822016 26257644032 52515288064 105030576128 210061152256