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16034298336 = 2532760713103
BaseRepresentation
bin11101110111011011…
…11111100111100000
31112101110100202021100
432323231333213200
5230314240021321
611211022354400
71105226200320
oct167355774740
945343322240
1016034298336
116888a41731
123135a2ba00
131686c047c4
14ac173d280
1563ca1d326
hex3bbb7f9e0

16034298336 has 144 divisors (see below), whose sum is σ = 52201304064. Its totient is φ = 4573331712.

The previous prime is 16034298317. The next prime is 16034298349. The reversal of 16034298336 is 63389243061.

16034298336 is a `hidden beast` number, since 1 + 603 + 4 + 2 + 9 + 8 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 16034298291 and 16034298300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217161 + ... + 1230263.

It is an arithmetic number, because the mean of its divisors is an integer number (362509056).

Almost surely, 216034298336 is an apocalyptic number.

16034298336 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 16034298336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26100652032).

16034298336 is an abundant number, since it is smaller than the sum of its proper divisors (36167005728).

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

16034298336 is a wasteful number, since it uses less digits than its factorization.

16034298336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 16034298336 in words is "sixteen billion, thirty-four million, two hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 607 672 1008 1214 1821 2016 2428 3642 4249 4856 5463 7284 8498 9712 10926 12747 13103 14568 16996 19424 21852 25494 26206 29136 33992 38241 39309 43704 50988 52412 58272 67984 76482 78618 87408 91721 101976 104824 117927 135968 152964 157236 174816 183442 203952 209648 235854 275163 305928 314472 366884 407904 419296 471708 550326 611856 628944 733768 825489 943416 1100652 1223712 1257888 1467536 1650978 1886832 2201304 2935072 3301956 3773664 4402608 6603912 7953521 8805216 13207824 15907042 23860563 26415648 31814084 47721126 55674647 63628168 71581689 95442252 111349294 127256336 143163378 167023941 190884504 222698588 254512672 286326756 334047882 381769008 445397176 501071823 572653512 668095764 763538016 890794352 1002143646 1145307024 1336191528 1781588704 2004287292 2290614048 2672383056 4008574584 5344766112 8017149168 16034298336