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213797646252 = 2232151136728771
BaseRepresentation
bin1100011100011101010…
…1010010111110101100
3202102211220222201220200
43013013111102332230
512000324144140002
6242114533313500
721306051002631
oct3070725227654
9672756881820
10213797646252
118274221a033
1235528495890
1317212a2b5b8
14a4c2762188
155864935b1c
hex31c7552fac

213797646252 has 72 divisors (see below), whose sum is σ = 544428847872. Its totient is φ = 70739676000.

The previous prime is 213797646247. The next prime is 213797646253. The reversal of 213797646252 is 252646797312.

213797646252 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 9 + 7 + 6 + 4 + 625 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (213797646253) 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, 7416627 + ... + 7445397.

It is an arithmetic number, because the mean of its divisors is an integer number (7561511776).

Almost surely, 2213797646252 is an apocalyptic number.

It is an amenable number.

213797646252 is an abundant number, since it is smaller than the sum of its proper divisors (330631201620).

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

213797646252 is a wasteful number, since it uses less digits than its factorization.

213797646252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30299 (or 30294 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 213797646252 in words is "two hundred thirteen billion, seven hundred ninety-seven million, six hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1367 1812 2718 2734 4101 5436 5468 8202 12303 16404 24606 28771 49212 57542 86313 115084 172626 206417 258939 345252 412834 517878 619251 825668 1035756 1238502 1857753 2477004 3715506 4344421 7431012 8688842 13033263 17377684 26066526 39099789 39329957 52133052 78199578 78659914 117989871 156399156 157319828 235979742 353969613 471959484 707939226 1415878452 5938823507 11877647014 17816470521 23755294028 35632941042 53449411563 71265882084 106898823126 213797646252