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168116352 = 273641683
BaseRepresentation
bin10100000010101…
…00000010000000
3102201100012021120
422001110002000
5321014210402
624403152240
74110652065
oct1201240200
9381305246
10168116352
1186996338
1248375680
1328aa2b41
1418482c6c
15eb5c3bc
hexa054080

168116352 has 64 divisors (see below), whose sum is σ = 447910560. Its totient is φ = 55869440.

The previous prime is 168116341. The next prime is 168116357. The reversal of 168116352 is 253611861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (168116357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245803 + ... + 246485.

Almost surely, 2168116352 is an apocalyptic number.

168116352 is a gapful number since it is divisible by the number (12) 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 168116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223955280).

168116352 is an abundant number, since it is smaller than the sum of its proper divisors (279794208).

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

168116352 is an equidigital number, since it uses as much as digits as its factorization.

168116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 168116352 is about 12965.9689957982. The cubic root of 168116352 is about 551.9121893507.

The spelling of 168116352 in words is "one hundred sixty-eight million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 641 683 1282 1366 1923 2049 2564 2732 3846 4098 5128 5464 7692 8196 10256 10928 15384 16392 20512 21856 30768 32784 41024 43712 61536 65568 82048 87424 123072 131136 246144 262272 437803 875606 1313409 1751212 2626818 3502424 5253636 7004848 10507272 14009696 21014544 28019392 42029088 56038784 84058176 168116352