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2014919928 = 233371737703
BaseRepresentation
bin111100000011001…
…0011110011111000
312012102102112112000
41320012103303320
513111304414203
6531534421000
7100634352060
oct17006236370
95172375460
102014919928
1194440818a
12482961760
1326159c418
141518603a0
15bbd5d4a3
hex78193cf8

2014919928 has 128 divisors (see below), whose sum is σ = 6434380800. Its totient is φ = 572289408.

The previous prime is 2014919911. The next prime is 2014919947. The reversal of 2014919928 is 8299194102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257725 + ... + 265427.

It is an arithmetic number, because the mean of its divisors is an integer number (50268600).

Almost surely, 22014919928 is an apocalyptic number.

2014919928 is a gapful number since it is divisible by the number (28) 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 2014919928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217190400).

2014919928 is an abundant number, since it is smaller than the sum of its proper divisors (4419460872).

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

2014919928 is a wasteful number, since it uses less digits than its factorization.

2014919928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 2014919928 is about 44887.8594722448. The cubic root of 2014919928 is about 1263.0462799207.

The spelling of 2014919928 in words is "two billion, fourteen million, nine hundred nineteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 173 189 216 252 346 378 504 519 692 756 1038 1211 1384 1512 1557 2076 2422 3114 3633 4152 4671 4844 6228 7266 7703 9342 9688 10899 12456 14532 15406 18684 21798 23109 29064 30812 32697 37368 43596 46218 53921 61624 65394 69327 87192 92436 107842 130788 138654 161763 184872 207981 215684 261576 277308 323526 415962 431368 485289 554616 647052 831924 970578 1294104 1332619 1455867 1663848 1941156 2665238 2911734 3882312 3997857 5330476 5823468 7995714 9328333 10660952 11646936 11993571 15991428 18656666 23987142 27984999 31982856 35980713 37313332 47974284 55969998 71961426 74626664 83954997 95948568 111939996 143922852 167909994 223879992 251864991 287845704 335819988 503729982 671639976 1007459964 2014919928