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161288163504 = 2432132331149811
BaseRepresentation
bin1001011000110110000…
…1100001000010110000
3120102022110010122010100
42112031201201002300
510120304232213004
6202032245032400
714436604524636
oct2261541410260
9512273118110
10161288163504
1162446a664a6
12273130b5700
13122950bc150
147b40a33356
1542deae0739
hex258d8610b0

161288163504 has 480 divisors, whose sum is σ = 527766220800. Its totient is φ = 45573580800.

The previous prime is 161288163431. The next prime is 161288163521. The reversal of 161288163504 is 405361882161.

161288163504 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 8 + 8 + 1 + 635 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 161288163504.

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, 198875259 + ... + 198876069.

It is an arithmetic number, because the mean of its divisors is an integer number (1099512960).

Almost surely, 2161288163504 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 161288163504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263883110400).

161288163504 is an abundant number, since it is smaller than the sum of its proper divisors (366478057296).

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

161288163504 is a wasteful number, since it uses less digits than its factorization.

161288163504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 161288163504 in words is "one hundred sixty-one billion, two hundred eighty-eight million, one hundred sixty-three thousand, five hundred four".