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2018012948 = 2271741531951
BaseRepresentation
bin111100001001000…
…0110111100010100
312012122020200100022
41320102012330110
513113102403243
6532125004312
7101002553450
oct17022067424
95178220308
102018012948
1194612aaa6
124839b3698
13262113203
14152027660
15bc26eb68
hex78486f14

2018012948 has 96 divisors (see below), whose sum is σ = 4462553088. Its totient is φ = 778752000.

The previous prime is 2018012923. The next prime is 2018012959. The reversal of 2018012948 is 8492108102.

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, 1033373 + ... + 1035323.

It is an arithmetic number, because the mean of its divisors is an integer number (46484928).

Almost surely, 22018012948 is an apocalyptic number.

2018012948 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 2018012948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231276544).

2018012948 is an abundant number, since it is smaller than the sum of its proper divisors (2444540140).

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

2018012948 is a wasteful number, since it uses less digits than its factorization.

2018012948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 2018012948 is about 44922.2990061729. The cubic root of 2018012948 is about 1263.6922328254.

The spelling of 2018012948 in words is "two billion, eighteen million, twelve thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 41 53 68 82 106 119 164 212 238 287 371 476 574 697 742 901 1148 1394 1484 1802 1951 2173 2788 3604 3902 4346 4879 6307 7804 8692 9758 12614 13657 15211 19516 25228 27314 30422 33167 36941 54628 60844 66334 73882 79991 103403 132668 147764 159982 206806 232169 258587 319964 413612 464338 517174 559937 723821 928676 1034348 1119874 1359847 1447642 1757851 2239748 2719694 2895284 3515702 4239523 5439388 7031404 8479046 9518929 12304957 16958092 19037858 24609914 29676661 38075716 49219828 59353322 72071891 118706644 144143782 288287564 504503237 1009006474 2018012948