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21240216198 = 2332811399777
BaseRepresentation
bin10011110010000000…
…111111101010000110
32000211021012210001000
4103302000333222012
5321444443404243
613431351314130
71351231600365
oct236200775206
960737183030
1021240216198
11900a603893
12414937b946
132006610186
141056cc37dc
15844a9c5d3
hex4f203fa86

21240216198 has 32 divisors (see below), whose sum is σ = 47368487520. Its totient is φ = 7054871040.

The previous prime is 21240216181. The next prime is 21240216199. The reversal of 21240216198 is 89161204212.

21240216198 is a `hidden beast` number, since 2 + 1 + 2 + 402 + 161 + 98 = 666.

It is a super-2 number, since 2×212402161982 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21240216199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684715 + ... + 715062.

It is an arithmetic number, because the mean of its divisors is an integer number (1480265235).

Almost surely, 221240216198 is an apocalyptic number.

21240216198 is an abundant number, since it is smaller than the sum of its proper divisors (26128271322).

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

21240216198 is a wasteful number, since it uses less digits than its factorization.

21240216198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400069 (or 1400063 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21240216198 in words is "twenty-one billion, two hundred forty million, two hundred sixteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 281 562 843 1686 2529 5058 7587 15174 1399777 2799554 4199331 8398662 12597993 25195986 37793979 75587958 393337337 786674674 1180012011 2360024022 3540036033 7080072066 10620108099 21240216198