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2074151872 = 261321910093
BaseRepresentation
bin111101110100001…
…0000101111000000
312100112212211110201
41323220100233000
513221440324442
6541452134544
7102254000002
oct17350205700
95315784421
102074151872
11974894001
1249a767454
1327093a900
1415967c372
15c215d7b7
hex7ba10bc0

2074151872 has 84 divisors (see below), whose sum is σ = 4691893080. Its totient is φ = 906826752.

The previous prime is 2074151869. The next prime is 2074151881. The reversal of 2074151872 is 2781514702.

It is a super-2 number, since 2×20741518722 = 8604211976242208768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200458 + ... + 210550.

It is an arithmetic number, because the mean of its divisors is an integer number (55855870).

Almost surely, 22074151872 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 2074151872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345946540).

2074151872 is an abundant number, since it is smaller than the sum of its proper divisors (2617741208).

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

2074151872 is a wasteful number, since it uses less digits than its factorization.

2074151872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 2074151872 is about 45542.8575300233. The cubic root of 2074151872 is about 1275.3034002049.

The spelling of 2074151872 in words is "two billion, seventy-four million, one hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 169 208 247 304 338 416 494 608 676 832 988 1216 1352 1976 2704 3211 3952 5408 6422 7904 10093 10816 12844 15808 20186 25688 40372 51376 80744 102752 131209 161488 191767 205504 262418 322976 383534 524836 645952 767068 1049672 1534136 1705717 2099344 2492971 3068272 3411434 4198688 4985942 6136544 6822868 8397376 9971884 12273088 13645736 19943768 27291472 32408623 39887536 54582944 64817246 79775072 109165888 129634492 159550144 259268984 518537968 1037075936 2074151872