Search a number
-
+
161357958144 = 210333126073
BaseRepresentation
bin1001011001000110101…
…1110000110000000000
3120102111022110120101000
42112101223300300000
510120430114130034
6202043221012000
714441413004565
oct2262153606000
9512438416330
10161357958144
11624823a7219
1227332554000
13122a66b8356
147b4a00086c
1542e5cca599
hex2591af0c00

161357958144 has 264 divisors, whose sum is σ = 493857746160. Its totient is φ = 52042383360.

The previous prime is 161357958127. The next prime is 161357958193. The reversal of 161357958144 is 441859753161.

161357958144 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 57 + 9 + 581 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26566692 + ... + 26572764.

Almost surely, 2161357958144 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 161357958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246928873080).

161357958144 is an abundant number, since it is smaller than the sum of its proper divisors (332499788016).

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

161357958144 is an equidigital number, since it uses as much as digits as its factorization.

161357958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6109 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 161357958144 in words is "one hundred sixty-one billion, three hundred fifty-seven million, nine hundred fifty-eight thousand, one hundred forty-four".