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20664505400 = 23527211191693
BaseRepresentation
bin10011001111101100…
…110101010000111000
31222100010220122021212
4103033230311100320
5314310103133100
613254304022252
71331041253300
oct231754652070
958303818255
1020664505400
118844635840
124008601988
131c4426a0b6
141000660600
1580e27b635
hex4cfb35438

20664505400 has 144 divisors (see below), whose sum is σ = 60970193640. Its totient is φ = 6440851200.

The previous prime is 20664505373. The next prime is 20664505523. The reversal of 20664505400 is 450546602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11954 + ... + 203646.

Almost surely, 220664505400 is an apocalyptic number.

20664505400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20664505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30485096820).

20664505400 is an abundant number, since it is smaller than the sum of its proper divisors (40305688240).

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

20664505400 is a wasteful number, since it uses less digits than its factorization.

20664505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191734 (or 191718 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 20664505400 in words is "twenty billion, six hundred sixty-four million, five hundred five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10780 13475 15400 21560 26950 53900 107800 191693 383386 766772 958465 1341851 1533544 1916930 2108623 2683702 3833860 4217246 4792325 5367404 6709255 7667720 8434492 9392957 9584650 10543115 10734808 13418510 14760361 16868984 18785914 19169300 21086230 26837020 29520722 33546275 37571828 38338600 42172460 46964785 52715575 53674040 59041444 67092550 73801805 75143656 84344920 93929570 103322527 105431150 118082888 134185100 147603610 187859140 206645054 210862300 234823925 268370200 295207220 369009025 375718280 413290108 421724600 469647850 516612635 590414440 738018050 826580216 939295700 1033225270 1476036100 1878591400 2066450540 2583063175 2952072200 4132901080 5166126350 10332252700 20664505400