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160948601856 = 21034721992
BaseRepresentation
bin1001010111100101001…
…0001100010000000000
3120101102210012010010000
42111321102030100000
510114110320224411
6201534435040000
714425312354200
oct2257122142000
9511383163100
10160948601856
1162292320839
1227239440000
131223c94c1b3
147b0b8c2400
1542bedb9956
hex257948c400

160948601856 has 495 divisors, whose sum is σ = 561916846359. Its totient is φ = 45754232832.

The previous prime is 160948601833. The next prime is 160948601897. The reversal of 160948601856 is 658106849061.

The square root of 160948601856 is 401184.

It is a perfect power (a square), and thus also a powerful number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 808786845 + ... + 808787043.

Almost surely, 2160948601856 is an apocalyptic number.

160948601856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

160948601856 is the 401184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160948601856

160948601856 is an abundant number, since it is smaller than the sum of its proper divisors (400968244503).

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

160948601856 is an frugal number, since it uses more digits than its factorization.

160948601856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 160948601856 in words is "one hundred sixty billion, nine hundred forty-eight million, six hundred one thousand, eight hundred fifty-six".