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161252355420 = 223551317314753
BaseRepresentation
bin1001011000101101100…
…0111010110101011100
3120102012221202101200000
42112023120322311130
510120221100333140
6202024525334300
714435661256122
oct2261330726534
9512187671600
10161252355420
1162428829342
1227303107390
131228a862630
147b39d91912
1542db8baa30
hex258b63ad5c

161252355420 has 288 divisors, whose sum is σ = 549462094272. Its totient is φ = 39460773888.

The previous prime is 161252355419. The next prime is 161252355437. The reversal of 161252355420 is 24553252161.

161252355420 is a `hidden beast` number, since 1 + 61 + 2 + 5 + 23 + 554 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10922764 + ... + 10937516.

It is an arithmetic number, because the mean of its divisors is an integer number (1907854494).

Almost surely, 2161252355420 is an apocalyptic number.

161252355420 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 161252355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274731047136).

161252355420 is an abundant number, since it is smaller than the sum of its proper divisors (388209738852).

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

161252355420 is a wasteful number, since it uses less digits than its factorization.

161252355420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14963 (or 14949 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 161252355420 in words is "one hundred sixty-one billion, two hundred fifty-two million, three hundred fifty-five thousand, four hundred twenty".