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161052816 = 243191371289
BaseRepresentation
bin10011001100101…
…11100010010000
3102020001022221010
421212113202100
5312212142231
623551530520
73663632511
oct1146274220
9366038833
10161052816
1182a01401
1245b29a40
132749ba32
1417564a08
15e214546
hex9997890

161052816 has 80 divisors (see below), whose sum is σ = 441489600. Its totient is φ = 50448384.

The previous prime is 161052811. The next prime is 161052851. The reversal of 161052816 is 618250161.

It is not an unprimeable number, because it can be changed into a prime (161052811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124300 + ... + 125588.

It is an arithmetic number, because the mean of its divisors is an integer number (5518620).

Almost surely, 2161052816 is an apocalyptic number.

161052816 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 161052816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220744800).

161052816 is an abundant number, since it is smaller than the sum of its proper divisors (280436784).

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

161052816 is a wasteful number, since it uses less digits than its factorization.

161052816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 161052816 is about 12690.6586117506. The cubic root of 161052816 is about 544.0716637135.

The spelling of 161052816 in words is "one hundred sixty-one million, fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 137 152 228 274 304 411 456 548 822 912 1096 1289 1644 2192 2578 2603 3288 3867 5156 5206 6576 7734 7809 10312 10412 15468 15618 20624 20824 24491 30936 31236 41648 48982 61872 62472 73473 97964 124944 146946 176593 195928 293892 353186 391856 529779 587784 706372 1059558 1175568 1412744 2119116 2825488 3355267 4238232 6710534 8476464 10065801 13421068 20131602 26842136 40263204 53684272 80526408 161052816