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21975484401 = 32131773315073
BaseRepresentation
bin10100011101110101…
…110100011111110001
32002201111202021101200
4110131311310133301
5330001211000101
614032334521413
71405400351433
oct243565643761
962644667350
1021975484401
119357651762
124313666269
1320c2a4a410
1410c67dc653
158893d9986
hex51dd747f1

21975484401 has 48 divisors (see below), whose sum is σ = 36246699216. Its totient is φ = 12709675008.

The previous prime is 21975484387. The next prime is 21975484403. The reversal of 21975484401 is 10448457912.

21975484401 is a `hidden beast` number, since 2 + 197 + 54 + 8 + 4 + 401 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1476403776 + 20499080625 = 38424^2 + 143175^2 .

It is not a de Polignac number, because 21975484401 - 26 = 21975484337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21975484403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450401 + ... + 1465473.

It is an arithmetic number, because the mean of its divisors is an integer number (755139567).

Almost surely, 221975484401 is an apocalyptic number.

It is an amenable number.

21975484401 is a deficient number, since it is larger than the sum of its proper divisors (14271214815).

21975484401 is a wasteful number, since it uses less digits than its factorization.

21975484401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15842 (or 15839 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 21975484401 in words is "twenty-one billion, nine hundred seventy-five million, four hundred eighty-four thousand, four hundred one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 733 1989 2199 6597 9529 12461 15073 28587 37383 45219 85761 112149 135657 161993 195949 256241 485979 587847 768723 1457937 1763541 2306169 3331133 9993399 11048509 29980197 33145527 99436581 143630617 187824653 430891851 563473959 1292675553 1690421877 2441720489 7325161467 21975484401