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4270042170648 = 2334181341310667
BaseRepresentation
bin111110001000110010010…
…110001100010100011000
3120010012201120200022120000
4332020302112030110120
51024430021243430043
613025344050533000
7620333424405222
oct76106226142430
916105646608500
104270042170648
1113a6a07538311
1258b690597160
1324c881208aa7
1410a957893412
15761185c02d3
hex3e23258c518

4270042170648 has 160 divisors (see below), whose sum is σ = 12030800942160. Its totient is φ = 1414936200960.

The previous prime is 4270042170623. The next prime is 4270042170673. The reversal of 4270042170648 is 8460712400724.

4270042170648 is a `hidden beast` number, since 427 + 0 + 0 + 4 + 217 + 0 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4270042170623) and next prime (4270042170673).

It is a super-2 number, since 2×42700421706482 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400298611 + ... + 400309277.

Almost surely, 24270042170648 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 4270042170648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015400471080).

4270042170648 is an abundant number, since it is smaller than the sum of its proper divisors (7760758771512).

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

4270042170648 is a wasteful number, since it uses less digits than its factorization.

4270042170648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14279 (or 14266 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 4270042170648 in words is "four trillion, two hundred seventy billion, forty-two million, one hundred seventy thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 181 216 324 362 543 648 724 1086 1448 1629 2172 3258 3413 4344 4887 6516 6826 9774 10239 10667 13032 13652 14661 19548 20478 21334 27304 29322 30717 32001 39096 40956 42668 58644 61434 64002 81912 85336 92151 96003 117288 122868 128004 184302 192006 245736 256008 276453 288009 368604 384012 552906 576018 617753 737208 768024 864027 1105812 1152036 1235506 1728054 1853259 1930727 2211624 2304072 2471012 3456108 3706518 3861454 4942024 5559777 5792181 6912216 7413036 7722908 11119554 11584362 14826072 15445816 16679331 17376543 22239108 23168724 33358662 34753086 36406471 44478216 46337448 50037993 52129629 66717324 69506172 72812942 100075986 104259258 109219413 133434648 139012344 145625884 156388887 200151972 208518516 218438826 291251768 312777774 327658239 400303944 417037032 436877652 625555548 655316478 873755304 982974717 1251111096 1310632956 1965949434 2621265912 2948924151 3931898868 5897848302 6589571251 7863797736 11795696604 13179142502 19768713753 23591393208 26358285004 39537427506 52716570008 59306141259 79074855012 118612282518 158149710024 177918423777 237224565036 355836847554 474449130072 533755271331 711673695108 1067510542662 1423347390216 2135021085324 4270042170648