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166945056 = 25312713693
BaseRepresentation
bin10011111001101…
…10000100100000
3102122010200120020
421330312010200
5320214220211
624322113440
74065003165
oct1174660440
9378120506
10166945056
1186266323
1247aab880
1328782975
141825a06c
15e9ca306
hex9f36120

166945056 has 48 divisors (see below), whose sum is σ = 441713664. Its totient is φ = 55206144.

The previous prime is 166945027. The next prime is 166945127. The reversal of 166945056 is 650549661.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 166944999 and 166945017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5346 + ... + 19038.

It is an arithmetic number, because the mean of its divisors is an integer number (9202368).

Almost surely, 2166945056 is an apocalyptic number.

166945056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166945056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220856832).

166945056 is an abundant number, since it is smaller than the sum of its proper divisors (274768608).

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

166945056 is a wasteful number, since it uses less digits than its factorization.

166945056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13833 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 166945056 is about 12920.7219612528. The cubic root of 166945056 is about 550.6274448148.

The spelling of 166945056 in words is "one hundred sixty-six million, nine hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 13693 27386 41079 54772 82158 109544 164316 219088 328632 438176 657264 1314528 1739011 3478022 5217033 6956044 10434066 13912088 20868132 27824176 41736264 55648352 83472528 166945056