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2136566432 = 257111366701
BaseRepresentation
bin111111101011001…
…0110101010100000
312111220022211011002
41333112112222200
513333430111212
6552002011132
7103642341440
oct17726265240
95456284132
102136566432
119a7043a90
124b7646aa8
132808518c0
14163a88120
15c788bac2
hex7f596aa0

2136566432 has 96 divisors (see below), whose sum is σ = 5647791744. Its totient is φ = 768384000.

The previous prime is 2136566381. The next prime is 2136566447. The reversal of 2136566432 is 2346656312.

It is a happy number.

It is a super-2 number, since 2×21365664322 = 9129832236698421248, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319 + ... + 65382.

It is an arithmetic number, because the mean of its divisors is an integer number (58831164).

Almost surely, 22136566432 is an apocalyptic number.

2136566432 is a gapful number since it is divisible by the number (22) 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 2136566432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823895872).

2136566432 is an abundant number, since it is smaller than the sum of its proper divisors (3511225312).

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

2136566432 is a wasteful number, since it uses less digits than its factorization.

2136566432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66742 (or 66734 counting only the distinct ones).

The product of its digits is 155520, while the sum is 38.

The square root of 2136566432 is about 46223.0076044387. The cubic root of 2136566432 is about 1287.9691684041.

The spelling of 2136566432 in words is "two billion, one hundred thirty-six million, five hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 66701 133402 266804 466907 533608 733711 867113 933814 1067216 1467422 1734226 1867628 2134432 2934844 3468452 3735256 5135977 5869688 6069791 6936904 7470512 9538243 10271954 11739376 12139582 13873808 14941024 19076486 20543908 23478752 24279164 27747616 38152972 41087816 48558328 66767701 76305944 82175632 97116656 133535402 152611888 164351264 194233312 267070804 305223776 534141608 1068283216 2136566432