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21205173942 = 2324517260807
BaseRepresentation
bin10011101111111011…
…010100011010110110
32000201211021110002200
4103233323110122312
5321412011031232
613424100245330
71350325001361
oct235773243266
960654243080
1021205173942
118aa184a047
1241396a0846
131ccc291104
1410523a10d8
1584197977c
hex4efed46b6

21205173942 has 24 divisors (see below), whose sum is σ = 45954891216. Its totient is φ = 7066799376.

The previous prime is 21205173931. The next prime is 21205173943. The reversal of 21205173942 is 24937150212.

21205173942 is a `hidden beast` number, since 212 + 0 + 51 + 7 + 394 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21205173897 and 21205173906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21205173943) 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, 49098 + ... + 211709.

It is an arithmetic number, because the mean of its divisors is an integer number (1914787134).

Almost surely, 221205173942 is an apocalyptic number.

21205173942 is an abundant number, since it is smaller than the sum of its proper divisors (24749717274).

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

21205173942 is a wasteful number, since it uses less digits than its factorization.

21205173942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265332 (or 265329 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21205173942 in words is "twenty-one billion, two hundred five million, one hundred seventy-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 4517 9034 13551 27102 40653 81306 260807 521614 782421 1564842 2347263 4694526 1178065219 2356130438 3534195657 7068391314 10602586971 21205173942