Search a number
-
+
2072862912 = 263194113859
BaseRepresentation
bin111101110001101…
…0110000011000000
312100110110100100110
41323203112003000
513221123103122
6541404351320
7102240021051
oct17343260300
95313410313
102072862912
1197409364a
1249a245540
132705a9003
14159424728
15c1ea690c
hex7b8d60c0

2072862912 has 112 divisors (see below), whose sum is σ = 5914339200. Its totient is φ = 638576640.

The previous prime is 2072862901. The next prime is 2072862917. The reversal of 2072862912 is 2192682702.

It is not an unprimeable number, because it can be changed into a prime (2072862917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142639 + ... + 156497.

It is an arithmetic number, because the mean of its divisors is an integer number (52806600).

Almost surely, 22072862912 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 2072862912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957169600).

2072862912 is an abundant number, since it is smaller than the sum of its proper divisors (3841476288).

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

2072862912 is a wasteful number, since it uses less digits than its factorization.

2072862912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2072862912 is about 45528.7042644528. The cubic root of 2072862912 is about 1275.0391708073.

The spelling of 2072862912 in words is "two billion, seventy-two million, eight hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 152 164 192 228 246 304 328 456 492 608 656 779 912 984 1216 1312 1558 1824 1968 2337 2624 3116 3648 3936 4674 6232 7872 9348 12464 13859 18696 24928 27718 37392 41577 49856 55436 74784 83154 110872 149568 166308 221744 263321 332616 443488 526642 568219 665232 789963 886976 1053284 1136438 1330464 1579926 1704657 2106568 2272876 2660928 3159852 3409314 4213136 4545752 6319704 6818628 8426272 9091504 10796161 12639408 13637256 16852544 18183008 21592322 25278816 27274512 32388483 36366016 43184644 50557632 54549024 64776966 86369288 109098048 129553932 172738576 259107864 345477152 518215728 690954304 1036431456 2072862912