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163234206720 = 21034513217137
BaseRepresentation
bin1001100000000110000…
…1000101010000000000
3120121100001221212120000
42120001201011100000
510133300424103340
6202553323320000
714536044602214
oct2300141052000
9517301855500
10163234206720
11632554aa582
1227776980000
1312515324100
147c87284944
1543a5895d30
hex2601845400

163234206720 has 1320 divisors, whose sum is σ = 675549449784. Its totient is φ = 37541117952.

The previous prime is 163234206719. The next prime is 163234206727. The reversal of 163234206720 is 27602432361.

163234206720 is a `hidden beast` number, since 163 + 2 + 3 + 420 + 6 + 72 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 61774119936 + 101460086784 = 248544^2 + 318528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163234206727) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1191490492 + ... + 1191490628.

Almost surely, 2163234206720 is an apocalyptic number.

163234206720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163234206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337774724892).

163234206720 is an abundant number, since it is smaller than the sum of its proper divisors (512315243064).

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

163234206720 is a wasteful number, since it uses less digits than its factorization.

163234206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 163234206720 in words is "one hundred sixty-three billion, two hundred thirty-four million, two hundred six thousand, seven hundred twenty".