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16160794048 = 267173116823
BaseRepresentation
bin11110000110100001…
…00010010111000000
31112201021101101202201
433003100202113000
5231044130402143
611231341522544
71111323324430
oct170320422700
945637341681
1016160794048
11694338a843
123170273454
1316a7194239
14ad446a2c0
15648ba864d
hex3c34225c0

16160794048 has 112 divisors (see below), whose sum is σ = 38936761344. Its totient is φ = 6496727040.

The previous prime is 16160794021. The next prime is 16160794049. The reversal of 16160794048 is 84049706161.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×161607940482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16160793989 and 16160794007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16160794049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2365165 + ... + 2371987.

Almost surely, 216160794048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16160794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468380672).

16160794048 is an abundant number, since it is smaller than the sum of its proper divisors (22775967296).

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

16160794048 is a wasteful number, since it uses less digits than its factorization.

16160794048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 16160794048 in words is "sixteen billion, one hundred sixty million, seven hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 311 448 476 544 622 952 1088 1244 1904 2177 2488 3808 4354 4976 5287 6823 7616 8708 9952 10574 13646 17416 19904 21148 27292 34832 37009 42296 47761 54584 69664 74018 84592 95522 109168 115991 139328 148036 169184 191044 218336 231982 296072 338368 382088 436672 463964 592144 764176 811937 927928 1184288 1528352 1623874 1855856 2121953 2368576 3056704 3247748 3711712 4243906 6495496 7423424 8487812 12990992 14853671 16975624 25981984 29707342 33951248 36073201 51963968 59414684 67902496 72146402 118829368 135804992 144292804 237658736 252512407 288585608 475317472 505024814 577171216 950634944 1010049628 1154342432 2020099256 2308684864 4040198512 8080397024 16160794048