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21474600800 = 255247571133
BaseRepresentation
bin10011111111111111…
…000110011101100000
32001102121020202021012
4103333333012131200
5322434444211200
613510523120052
71360106044412
oct237777063540
961377222235
1021474600800
11911a941474
1241b3973028
1320430460a3
14107a0969b2
1585a449a35
hex4fffc6760

21474600800 has 72 divisors (see below), whose sum is σ = 53540385696. Its totient is φ = 8407063040.

The previous prime is 21474600773. The next prime is 21474600811. The reversal of 21474600800 is 800647412.

It is a super-2 number, since 2×214746008002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247967 + ... + 323166.

It is an arithmetic number, because the mean of its divisors is an integer number (743616468).

Almost surely, 221474600800 is an apocalyptic number.

21474600800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21474600800 is an abundant number, since it is smaller than the sum of its proper divisors (32065784896).

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

21474600800 is a wasteful number, since it uses less digits than its factorization.

21474600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571200 (or 571187 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 21474600800 in words is "twenty-one billion, four hundred seventy-four million, six hundred thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 571133 1142266 2284532 2855665 4569064 5711330 9138128 11422660 14278325 18276256 22845320 26843251 28556650 45690640 53686502 57113300 91381280 107373004 114226600 134216255 214746008 228453200 268432510 429492016 456906400 536865020 671081275 858984032 1073730040 1342162550 2147460080 2684325100 4294920160 5368650200 10737300400 21474600800