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16268041368 = 23323137919231
BaseRepresentation
bin11110010011010011…
…01001110010011000
31112222202012010102200
433021221221302120
5231304104310433
611250132330200
71114065033015
oct171151516230
945882163380
1016268041368
116998981297
1231a0173960
1316c34746a7
14b047c670c
156532e0613
hex3c9a69c98

16268041368 has 96 divisors (see below), whose sum is σ = 45602918400. Its totient is φ = 5233636800.

The previous prime is 16268041327. The next prime is 16268041403. The reversal of 16268041368 is 86314086261.

16268041368 is a `hidden beast` number, since 1 + 626 + 8 + 0 + 4 + 13 + 6 + 8 = 666.

16268041368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162680413682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836313 + ... + 855543.

It is an arithmetic number, because the mean of its divisors is an integer number (475030400).

Almost surely, 216268041368 is an apocalyptic number.

16268041368 is a gapful number since it is divisible by the number (18) 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 16268041368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22801459200).

16268041368 is an abundant number, since it is smaller than the sum of its proper divisors (29334877032).

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

16268041368 is a wasteful number, since it uses less digits than its factorization.

16268041368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653 (or 19646 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16268041368 in words is "sixteen billion, two hundred sixty-eight million, forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 379 558 744 758 1116 1137 1516 2232 2274 3032 3411 4548 6822 9096 11749 13644 19231 23498 27288 35247 38462 46996 57693 70494 76924 93992 105741 115386 140988 153848 173079 211482 230772 281976 346158 422964 461544 596161 692316 845928 1192322 1384632 1788483 2384644 3576966 4769288 5365449 7153932 7288549 10730898 14307864 14577098 21461796 21865647 29154196 42923592 43731294 58308392 65596941 87462588 131193882 174925176 225945019 262387764 451890038 524775528 677835057 903780076 1355670114 1807560152 2033505171 2711340228 4067010342 5422680456 8134020684 16268041368