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16145403456 = 263713924073
BaseRepresentation
bin11110000100101011…
…10100111001000000
31112200012102110211210
433002111310321000
5231031210402311
611230032010120
71111045444050
oct170225647100
945605373753
1016145403456
116935728646
123167090940
1316a3c35b90
14ad23c1560
156476683a6
hex3c2574e40

16145403456 has 112 divisors (see below), whose sum is σ = 52576114304. Its totient is φ = 4258123776.

The previous prime is 16145403427. The next prime is 16145403487. The reversal of 16145403456 is 65430454161.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 444565 + ... + 479508.

It is an arithmetic number, because the mean of its divisors is an integer number (469429592).

Almost surely, 216145403456 is an apocalyptic number.

16145403456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16145403456 is an abundant number, since it is smaller than the sum of its proper divisors (36430710848).

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

16145403456 is a wasteful number, since it uses less digits than its factorization.

16145403456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924108 (or 924098 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 16145403456 in words is "sixteen billion, one hundred forty-five million, four hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 924073 1848146 2772219 3696292 5544438 6468511 7392584 11088876 12012949 12937022 14785168 19405533 22177752 24025898 25874044 29570336 36038847 38811066 44355504 48051796 51748088 59140672 72077694 77622132 84090643 88711008 96103592 103496176 144155388 155244264 168181286 177422016 192207184 206992352 252271929 288310776 310488528 336362572 384414368 413984704 504543858 576621552 620977056 672725144 768828736 1009087716 1153243104 1241954112 1345450288 2018175432 2306486208 2690900576 4036350864 5381801152 8072701728 16145403456