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210468527136 = 253272132711239
BaseRepresentation
bin1100010000000011100…
…1101101110000100000
3202010020220122222000200
43010000321231300200
511422014420332021
6240404330545200
721130414651200
oct3040071556040
9663226588020
10210468527136
1181293aa661a
1234959598200
1316b020c222a
14a288566400
15571c530126
hex3100e6dc20

210468527136 has 216 divisors, whose sum is σ = 696824069760. Its totient is φ = 60083202816.

The previous prime is 210468527107. The next prime is 210468527147. The reversal of 210468527136 is 631725864012.

210468527136 is a `hidden beast` number, since 2 + 1 + 0 + 468 + 52 + 7 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 210468527091 and 210468527100.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18721005 + ... + 18732243.

It is an arithmetic number, because the mean of its divisors is an integer number (3226037360).

Almost surely, 2210468527136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210468527136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348412034880).

210468527136 is an abundant number, since it is smaller than the sum of its proper divisors (486355542624).

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

210468527136 is a wasteful number, since it uses less digits than its factorization.

210468527136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12596 (or 12578 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 210468527136 in words is "two hundred ten billion, four hundred sixty-eight million, five hundred twenty-seven thousand, one hundred thirty-six".