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161240490216 = 233513293147151
BaseRepresentation
bin1001011000101010101…
…1101010000011101000
3120102012010102120200000
42112022223222003220
510120210031141331
6202023423143000
714435455360521
oct2261253520350
9512163376600
10161240490216
1162422064893
12272bb144a60
1312288269ac0
147b38583848
1542da8250e6
hex258aaea0e8

161240490216 has 768 divisors, whose sum is σ = 535397990400. Its totient is φ = 45069696000.

The previous prime is 161240490199. The next prime is 161240490217. The reversal of 161240490216 is 612094042161.

161240490216 is a `hidden beast` number, since 161 + 2 + 4 + 0 + 490 + 2 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (161240490217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1067817741 + ... + 1067817891.

It is an arithmetic number, because the mean of its divisors is an integer number (697132800).

Almost surely, 2161240490216 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 161240490216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267698995200).

161240490216 is an abundant number, since it is smaller than the sum of its proper divisors (374157500184).

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

161240490216 is a wasteful number, since it uses less digits than its factorization.

161240490216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 161240490216 in words is "one hundred sixty-one billion, two hundred forty million, four hundred ninety thousand, two hundred sixteen".