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161389242756 = 223271753671032
BaseRepresentation
bin1001011001001110001…
…1000110100110000100
3120102120111022222210100
42112103203012212010
510121011121232011
6202050255324100
714442242633430
oct2262343064604
9512514288710
10161389242756
1162499024875
1227340b20630
13122b001cc61
147b502259c0
1542e8909d56
hex25938c6984

161389242756 has 432 divisors, whose sum is σ = 515486934144. Its totient is φ = 41537193984.

The previous prime is 161389242743. The next prime is 161389242757. The reversal of 161389242756 is 657242983161.

It is a happy number.

161389242756 is a `hidden beast` number, since 16 + 1 + 389 + 242 + 7 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (4354560) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (161389242757) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1566885801 + ... + 1566885903.

It is an arithmetic number, because the mean of its divisors is an integer number (1193256792).

Almost surely, 2161389242756 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 161389242756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257743467072).

161389242756 is an abundant number, since it is smaller than the sum of its proper divisors (354097691388).

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

161389242756 is a wasteful number, since it uses less digits than its factorization.

161389242756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 252 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 161389242756 in words is "one hundred sixty-one billion, three hundred eighty-nine million, two hundred forty-two thousand, seven hundred fifty-six".