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2063307168 = 25351320411
BaseRepresentation
bin111101011111011…
…1001000110100000
312022210110212100000
41322332321012200
513211201312133
6540423500000
7102062551536
oct17276710640
95283425300
102063307168
1196975723a
12496bb7600
1326b611720
14158058156
15c121a413
hex7afb91a0

2063307168 has 144 divisors (see below), whose sum is σ = 6553231776. Its totient is φ = 634832640.

The previous prime is 2063307157. The next prime is 2063307179. The reversal of 2063307168 is 8617033602.

It is a happy number.

2063307168 is a `hidden beast` number, since 2 + 0 + 633 + 0 + 7 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2063307157) and next prime (2063307179).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 90883 + ... + 111293.

It is an arithmetic number, because the mean of its divisors is an integer number (45508554).

Almost surely, 22063307168 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 2063307168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276615888).

2063307168 is an abundant number, since it is smaller than the sum of its proper divisors (4489924608).

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

2063307168 is a wasteful number, since it uses less digits than its factorization.

2063307168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20449 (or 20429 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2063307168 is about 45423.6410693815. The cubic root of 2063307168 is about 1273.0768737515.

The spelling of 2063307168 in words is "two billion, sixty-three million, three hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 20411 25272 33696 40822 50544 61233 81644 101088 122466 163288 183699 244932 265343 326576 367398 489864 530686 551097 653152 734796 796029 979728 1061372 1102194 1469592 1592058 1653291 1959456 2122744 2204388 2388087 2939184 3184116 3306582 4245488 4408776 4776174 4959873 5878368 6368232 6613164 7164261 8490976 8817552 9552348 9919746 12736464 13226328 14328522 17635104 19104696 19839492 21492783 25472928 26452656 28657044 38209392 39678984 42985566 52905312 57314088 64478349 76418784 79357968 85971132 114628176 128956698 158715936 171942264 229256352 257913396 343884528 515826792 687769056 1031653584 2063307168