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20014663296 = 2732310721179
BaseRepresentation
bin10010101000111101…
…111000011010000000
31220122212010020111210
4102220331320122000
5311442223211141
613110011410120
71305660555015
oct225075703200
956585106453
1020014663296
118540834851
123a66a53940
131b6c73cc44
14d7c22170c
157c21b5916
hex4a8f78680

20014663296 has 128 divisors (see below), whose sum is σ = 55996531200. Its totient is φ = 6321548288.

The previous prime is 20014663271. The next prime is 20014663313. The reversal of 20014663296 is 69236641002.

It is a tau number, because it is divible by the number of its divisors (128).

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, 934435 + ... + 955613.

It is an arithmetic number, because the mean of its divisors is an integer number (437472900).

Almost surely, 220014663296 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 20014663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998265600).

20014663296 is an abundant number, since it is smaller than the sum of its proper divisors (35981867904).

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

20014663296 is a wasteful number, since it uses less digits than its factorization.

20014663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21326 (or 21314 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 20014663296 in words is "twenty billion, fourteen million, six hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 107 128 138 184 192 214 276 321 368 384 428 552 642 736 856 1104 1284 1472 1712 2208 2461 2568 2944 3424 4416 4922 5136 6848 7383 8832 9844 10272 13696 14766 19688 20544 21179 29532 39376 41088 42358 59064 63537 78752 84716 118128 127074 157504 169432 236256 254148 315008 338864 472512 487117 508296 677728 945024 974234 1016592 1355456 1461351 1948468 2033184 2266153 2710912 2922702 3896936 4066368 4532306 5845404 6798459 7793872 8132736 9064612 11690808 13596918 15587744 18129224 23381616 27193836 31175488 36258448 46763232 52121519 54387672 62350976 72516896 93526464 104243038 108775344 145033792 156364557 187052928 208486076 217550688 290067584 312729114 416972152 435101376 625458228 833944304 870202752 1250916456 1667888608 2501832912 3335777216 5003665824 6671554432 10007331648 20014663296