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161078016 = 2831123829
BaseRepresentation
bin10011001100111…
…01101100000000
3102020002121111110
421212131230000
5312213444031
623552243320
73664066131
oct1146355400
9366077443
10161078016
1182a19330
1245b40540
13274aa348
141756dc88
15e21bc46
hex999db00

161078016 has 144 divisors (see below), whose sum is σ = 488597760. Its totient is φ = 46632960.

The previous prime is 161077981. The next prime is 161078023. The reversal of 161078016 is 610870161.

It is a happy number.

It is a super-2 number, since 2×1610780162 = 51892254476992512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193890 + ... + 194718.

It is an arithmetic number, because the mean of its divisors is an integer number (3393040).

Almost surely, 2161078016 is an apocalyptic number.

161078016 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 161078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244298880).

161078016 is an abundant number, since it is smaller than the sum of its proper divisors (327519744).

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

161078016 is a wasteful number, since it uses less digits than its factorization.

161078016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 161078016 is about 12691.6514291876. The cubic root of 161078016 is about 544.1000392722.

The spelling of 161078016 in words is "one hundred sixty-one million, seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 704 736 759 768 829 1012 1056 1104 1408 1472 1518 1658 2024 2112 2208 2487 2816 2944 3036 3316 4048 4224 4416 4974 5888 6072 6632 8096 8448 8832 9119 9948 12144 13264 16192 17664 18238 19067 19896 24288 26528 27357 32384 36476 38134 39792 48576 53056 54714 57201 64768 72952 76268 79584 97152 106112 109428 114402 145904 152536 159168 194304 209737 212224 218856 228804 291808 305072 318336 419474 437712 457608 583616 610144 629211 636672 838948 875424 915216 1167232 1220288 1258422 1677896 1750848 1830432 2334464 2440576 2516844 3355792 3501696 3660864 4881152 5033688 6711584 7003392 7321728 10067376 13423168 14643456 20134752 26846336 40269504 53692672 80539008 161078016