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2173993712 = 241123951683
BaseRepresentation
bin1000000110010100…
…1000001011110000
312121111202022201122
42001211020023300
513423020244322
6555420121412
7104605433042
oct20145101360
95544668648
102173993712
11a16187720
12508096268
13288527417
14168a2ba92
15cacd1442
hex819482f0

2173993712 has 40 divisors (see below), whose sum is σ = 4614347520. Its totient is φ = 984025280.

The previous prime is 2173993691. The next prime is 2173993727.

2173993712 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16223 + ... + 67905.

It is an arithmetic number, because the mean of its divisors is an integer number (115358688).

Almost surely, 22173993712 is an apocalyptic number.

2173993712 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 2173993712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307173760).

2173993712 is an abundant number, since it is smaller than the sum of its proper divisors (2440353808).

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

2173993712 is a wasteful number, since it uses less digits than its factorization.

2173993712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51941 (or 51935 counting only the distinct ones).

The product of its digits is 142884, while the sum is 44.

The square root of 2173993712 is about 46626.1054775112. The cubic root of 2173993712 is about 1295.4463385954.

The spelling of 2173993712 in words is "two billion, one hundred seventy-three million, nine hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 956 1912 2629 3824 5258 10516 21032 42064 51683 103366 206732 413464 568513 826928 1137026 2274052 4548104 9096208 12352237 24704474 49408948 98817896 135874607 197635792 271749214 543498428 1086996856 2173993712