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210061652112 = 2432131061105761
BaseRepresentation
bin1100001110100010100…
…1100111000010010000
3202002012120001120102100
43003220221213002100
511420201240331422
6240300114120400
721114344403504
oct3035051470220
9662176046370
10210061652112
11810a5365374
1234865280100
1316a68a14590
14a24a4d2304
1556e695e7ac
hex30e8a67090

210061652112 has 120 divisors (see below), whose sum is σ = 633705174648. Its totient is φ = 64572825600.

The previous prime is 210061652111. The next prime is 210061652123. The reversal of 210061652112 is 211256160012.

210061652112 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 6 + 1 + 652 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 557715456 + 209503936656 = 23616^2 + 457716^2 .

It is not an unprimeable number, because it can be changed into a prime (210061652111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933312 + ... + 2039072.

Almost surely, 2210061652112 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 210061652112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316852587324).

210061652112 is an abundant number, since it is smaller than the sum of its proper divisors (423643522536).

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

210061652112 is a wasteful number, since it uses less digits than its factorization.

210061652112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106849 (or 106840 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 210061652112 in words is "two hundred ten billion, sixty-one million, six hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1061 1872 2122 3183 4244 6366 8488 9549 12732 13793 16976 19098 25464 27586 38196 41379 50928 55172 76392 82758 105761 110344 124137 152784 165516 211522 220688 248274 317283 331032 423044 496548 634566 662064 846088 951849 993096 1269132 1374893 1692176 1903698 1986192 2538264 2749786 3807396 4124679 5076528 5499572 7614792 8249358 10999144 12374037 15229584 16498716 21998288 24748074 32997432 49496148 65994864 98992296 112212421 197984592 224424842 336637263 448849684 673274526 897699368 1009911789 1346549052 1458761473 1795398736 2019823578 2693098104 2917522946 4039647156 4376284419 5386196208 5835045892 8079294312 8752568838 11670091784 13128853257 16158588624 17505137676 23340183568 26257706514 35010275352 52515413028 70020550704 105030826056 210061652112