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21531644900 = 2252488944041
BaseRepresentation
bin10100000011011000…
…101101001111100100
32001120120120220001122
4110003120231033210
5323044100114100
613520321513112
71361400650633
oct240330551744
961516526048
1021531644900
11914a063557
12420aaa2798
132051ac97ac
1410838a551a
15860466985
hex50362d3e4

21531644900 has 36 divisors (see below), whose sum is σ = 46734287460. Its totient is φ = 8610700800.

The previous prime is 21531644891. The next prime is 21531644923. The reversal of 21531644900 is 944613512.

It can be written as a sum of positive squares in 6 ways, for example, as 3125824 + 21528519076 = 1768^2 + 146726^2 .

It is a super-2 number, since 2×215316449002 (a number of 21 digits) contains 22 as substring.

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, 466880 + ... + 510920.

Almost surely, 221531644900 is an apocalyptic number.

21531644900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21531644900 is an abundant number, since it is smaller than the sum of its proper divisors (25202642560).

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

21531644900 is a wasteful number, since it uses less digits than its factorization.

21531644900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48944 (or 48937 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 21531644900 in words is "twenty-one billion, five hundred thirty-one million, six hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4889 9778 19556 24445 44041 48890 88082 97780 122225 176164 220205 244450 440410 488900 880820 1101025 2202050 4404100 215316449 430632898 861265796 1076582245 2153164490 4306328980 5382911225 10765822450 21531644900