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20004614640 = 2432548895683
BaseRepresentation
bin10010101000010111…
…100011000111110000
31220122011012201100100
4102220113203013300
5311432140132030
613105012152400
71305506263443
oct225027430760
956564181310
1020004614640
1185360a107a
123a63608700
131b6a6321aa
14d7ab6765a
157c137d360
hex4a85e31f0

20004614640 has 120 divisors (see below), whose sum is σ = 67207729680. Its totient is φ = 5332534272.

The previous prime is 20004614621. The next prime is 20004614659. The reversal of 20004614640 is 4641640002.

20004614640 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 4 + 6 + 14 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (20004614621) and next prime (20004614659).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 3517239 + ... + 3522921.

It is an arithmetic number, because the mean of its divisors is an integer number (560064414).

Almost surely, 220004614640 is an apocalyptic number.

20004614640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20004614640 is an abundant number, since it is smaller than the sum of its proper divisors (47203115040).

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

20004614640 is a wasteful number, since it uses less digits than its factorization.

20004614640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10591 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20004614640 in words is "twenty billion, four million, six hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4889 5683 9778 11366 14667 17049 19556 22732 24445 28415 29334 34098 39112 44001 45464 48890 51147 56830 58668 68196 73335 78224 85245 88002 90928 97780 102294 113660 117336 136392 146670 170490 176004 195560 204588 220005 227320 234672 255735 272784 293340 340980 352008 391120 409176 440010 454640 511470 586680 681960 704016 818352 880020 1022940 1173360 1363920 1760040 2045880 3520080 4091760 27784187 55568374 83352561 111136748 138920935 166705122 222273496 250057683 277841870 333410244 416762805 444546992 500115366 555683740 666820488 833525610 1000230732 1111367480 1250288415 1333640976 1667051220 2000461464 2222734960 2500576830 3334102440 4000922928 5001153660 6668204880 10002307320 20004614640