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21755172420 = 22325120862069
BaseRepresentation
bin10100010000101101…
…011001011001000100
32002011011012021011200
4110100231121121010
5324023311004140
613554424502500
71400053625442
oct242055313104
962134167150
1021755172420
119254256043
12427191aa30
1320892009b7
1410a544db92
15874dbc030
hex510b59644

21755172420 has 36 divisors (see below), whose sum is σ = 65990690220. Its totient is φ = 5801379264.

The previous prime is 21755172379. The next prime is 21755172427. The reversal of 21755172420 is 2427155712.

21755172420 is a `hidden beast` number, since 2 + 17 + 55 + 172 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16690572864 + 5064599556 = 129192^2 + 71166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21755172427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60430855 + ... + 60431214.

Almost surely, 221755172420 is an apocalyptic number.

21755172420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21755172420 is an abundant number, since it is smaller than the sum of its proper divisors (44235517800).

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

21755172420 is a wasteful number, since it uses less digits than its factorization.

21755172420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120862084 (or 120862079 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 21755172420 in words is "twenty-one billion, seven hundred fifty-five million, one hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 120862069 241724138 362586207 483448276 604310345 725172414 1087758621 1208620690 1450344828 1812931035 2175517242 2417241380 3625862070 4351034484 5438793105 7251724140 10877586210 21755172420