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427644500436750 = 235316333149105527
BaseRepresentation
bin110000100111100001011111…
…0100010011110011100001110
32002002011102012111222001210010
41201033002332202132130032
5422023011414102434000
64113305101003454050
7156035203244363232
oct14117027642363416
92062142174861703
10427644500436750
11114296017911323
123bb68451b27326
131548091b36738c
1477861661305c2
153469035190d50
hex184f0be89e70e

427644500436750 has 128 divisors (see below), whose sum is σ = 1073991718425600. Its totient is φ = 113334417475200.

The previous prime is 427644500436743. The next prime is 427644500436773. The reversal of 427644500436750 is 57634005446724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4052412487 + ... + 4052518013.

It is an arithmetic number, because the mean of its divisors is an integer number (8390560300200).

Almost surely, 2427644500436750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427644500436750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536995859212800).

427644500436750 is an abundant number, since it is smaller than the sum of its proper divisors (646347217988850).

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

427644500436750 is a wasteful number, since it uses less digits than its factorization.

427644500436750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138859 (or 138849 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 57.

The spelling of 427644500436750 in words is "four hundred twenty-seven trillion, six hundred forty-four billion, five hundred million, four hundred thirty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 163 250 326 375 489 750 815 978 1630 2445 4075 4890 8150 12225 20375 24450 33149 40750 61125 66298 99447 105527 122250 165745 198894 211054 316581 331490 497235 527635 633162 828725 994470 1055270 1582905 1657450 2486175 2638175 3165810 4143625 4972350 5276350 5403287 7914525 8287250 10806574 12430875 13190875 15829050 16209861 17200901 24861750 26381750 27016435 32419722 34401802 39572625 51602703 54032870 79145250 81049305 86004505 103205406 135082175 162098610 172009010 258013515 270164350 405246525 430022525 516027030 675410875 810493050 860045050 1290067575 1350821750 2026232625 2150112625 2580135150 3498114523 4052465250 4300225250 6450337875 6996229046 10494343569 12900675750 17490572615 20988687138 34981145230 52471717845 87452863075 104943435690 174905726150 262358589225 437264315375 524717178450 570192667249 874528630750 1140385334498 1311792946125 1710578001747 2623585892250 2850963336245 3421156003494 5701926672490 8552890008735 14254816681225 17105780017470 28509633362450 42764450043675 71274083406125 85528900087350 142548166812250 213822250218375 427644500436750