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210058512128 = 281499915557
BaseRepresentation
bin1100001110100001110…
…1101000011100000000
3202002012100011001011122
43003220131220130000
511420144434342003
6240255522531412
721114305615153
oct3035035503400
9662170131148
10210058512128
11810a3610243
1234864206b68
1316a681852ba
14a249d15c9a
1556e653e238
hex30e8768700

210058512128 has 72 divisors (see below), whose sum is σ = 422612534400. Its totient is φ = 104200335360.

The previous prime is 210058512127. The next prime is 210058512143. The reversal of 210058512128 is 821215850012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210058512127) 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, 37797926 + ... + 37803482.

Almost surely, 2210058512128 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 210058512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211306267200).

210058512128 is an abundant number, since it is smaller than the sum of its proper divisors (212554022272).

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

210058512128 is an equidigital number, since it uses as much as digits as its factorization.

210058512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The spelling of 210058512128 in words is "two hundred ten billion, fifty-eight million, five hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 596 991 1192 1982 2384 3964 4768 5557 7928 9536 11114 15856 19072 22228 31712 38144 44456 63424 88912 126848 147659 177824 253696 295318 355648 590636 711296 827993 1181272 1422592 1655986 2362544 3311972 4725088 5506987 6623944 9450176 11013974 13247888 18900352 22027948 26495776 37800704 44055896 52991552 88111792 105983104 176223584 211966208 352447168 704894336 820541063 1409788672 1641082126 3282164252 6564328504 13128657008 26257314016 52514628032 105029256064 210058512128