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642706605252 = 2232131367371341
BaseRepresentation
bin10010101101001000100…
…11001000010011000100
32021102221022212101101200
421112210103020103010
541012230342332002
61211131053022500
764301604002145
oct11264423102304
92242838771350
10642706605252
1122863013a188
12a4689184a30
13487b7699b2a
14231700c3acc
1511ab9291b1c
hex95a44c84c4

642706605252 has 72 divisors (see below), whose sum is σ = 1641486118272. Its totient is φ = 212020286400.

The previous prime is 642706605239. The next prime is 642706605269. The reversal of 642706605252 is 252506607246.

642706605252 is a `hidden beast` number, since 64 + 2 + 7 + 0 + 6 + 60 + 525 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 642706605198 and 642706605207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545102 + ... + 1916442.

Almost surely, 2642706605252 is an apocalyptic number.

It is an amenable number.

642706605252 is an abundant number, since it is smaller than the sum of its proper divisors (998779513020).

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

642706605252 is a wasteful number, since it uses less digits than its factorization.

642706605252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371849 (or 371844 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 642706605252 in words is "six hundred forty-two billion, seven hundred six million, six hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 367 393 524 734 786 1101 1179 1468 1572 2202 2358 3303 4404 4716 6606 13212 48077 96154 144231 192308 288462 371341 432693 576924 742682 865386 1114023 1485364 1730772 2228046 3342069 4456092 6684138 13368276 48645671 97291342 136282147 145937013 194582684 272564294 291874026 408846441 437811039 545128588 583748052 817692882 875622078 1226539323 1635385764 1751244156 2453078646 4906157292 17852961257 35705922514 53558883771 71411845028 107117767542 160676651313 214235535084 321353302626 642706605252