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2091312288 = 253213619157
BaseRepresentation
bin111110010100110…
…1110010010100000
312101202011200010200
41330221232102200
513240333443123
6543304025200
7102552601242
oct17451562240
95352150120
102091312288
1198354496a
124a4462200
132743686c0
1415ba68092
15c38ed143
hex7ca6e4a0

2091312288 has 144 divisors (see below), whose sum is σ = 6510348936. Its totient is φ = 632862720.

The previous prime is 2091312287. The next prime is 2091312371. The reversal of 2091312288 is 8822131902.

It can be written as a sum of positive squares in 4 ways, for example, as 435473424 + 1655838864 = 20868^2 + 40692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2091312281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223806 + ... + 232962.

Almost surely, 22091312288 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 2091312288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255174468).

2091312288 is an abundant number, since it is smaller than the sum of its proper divisors (4419036648).

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

2091312288 is a wasteful number, since it uses less digits than its factorization.

2091312288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2091312288 is about 45730.8679996346. The cubic root of 2091312288 is about 1278.8108030588.

The spelling of 2091312288 in words is "two billion, ninety-one million, three hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 208 234 244 288 312 366 416 468 488 549 624 732 793 936 976 1098 1248 1464 1586 1872 1952 2196 2379 2928 3172 3744 4392 4758 5856 6344 7137 8784 9157 9516 12688 14274 17568 18314 19032 25376 27471 28548 36628 38064 54942 57096 73256 76128 82413 109884 114192 119041 146512 164826 219768 228384 238082 293024 329652 357123 439536 476164 558577 659304 714246 879072 952328 1071369 1117154 1318608 1428492 1675731 1904656 2142738 2234308 2637216 2856984 3351462 3809312 4285476 4468616 5027193 5713968 6702924 7261501 8570952 8937232 10054386 11427936 13405848 14523002 17141904 17874464 20108772 21784503 26811696 29046004 34283808 40217544 43569006 53623392 58092008 65353509 80435088 87138012 116184016 130707018 160870176 174276024 232368032 261414036 348552048 522828072 697104096 1045656144 2091312288