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2173932864 = 26336172039
BaseRepresentation
bin1000000110010011…
…1001010101000000
312121111122020021000
42001210321111000
513423011322424
6555414532000
7104605060455
oct20144712500
95544566230
102173932864
11a16145a34
12508067000
1328850580c
14168a1382c
15cacbd3c9
hex81939540

2173932864 has 112 divisors (see below), whose sum is σ = 6404457600. Its totient is φ = 723115008.

The previous prime is 2173932857. The next prime is 2173932869. The reversal of 2173932864 is 4682393712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173932869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065157 + ... + 1067195.

Almost surely, 22173932864 is an apocalyptic number.

2173932864 is a gapful number since it is divisible by the number (24) 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 2173932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202228800).

2173932864 is an abundant number, since it is smaller than the sum of its proper divisors (4230524736).

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

2173932864 is a wasteful number, since it uses less digits than its factorization.

2173932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2661 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2173932864 is about 46625.4529629472. The cubic root of 2173932864 is about 1295.4342523822.

The spelling of 2173932864 in words is "two billion, one hundred seventy-three million, nine hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 617 864 1234 1728 1851 2039 2468 3702 4078 4936 5553 6117 7404 8156 9872 11106 12234 14808 16312 16659 18351 19744 22212 24468 29616 32624 33318 36702 39488 44424 48936 55053 59232 65248 66636 73404 88848 97872 110106 118464 130496 133272 146808 177696 195744 220212 266544 293616 355392 391488 440424 533088 587232 880848 1066176 1174464 1258063 1761696 2516126 3523392 3774189 5032252 7548378 10064504 11322567 15096756 20129008 22645134 30193512 33967701 40258016 45290268 60387024 67935402 80516032 90580536 120774048 135870804 181161072 241548096 271741608 362322144 543483216 724644288 1086966432 2173932864