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2483743164 = 22372291131289
BaseRepresentation
bin1001010000001010…
…1110100110111100
320102002121020002120
42110002232212330
520041314240124
61050243122540
7115356316500
oct22402564674
96362536076
102483743164
111065010001
12593973450
13307759a16
14197c1c300
15e80b8d79
hex940ae9bc

2483743164 has 144 divisors (see below), whose sum is σ = 7041232800. Its totient is φ = 678580224.

The previous prime is 2483743147. The next prime is 2483743177. The reversal of 2483743164 is 4613473842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1926232 + ... + 1927520.

It is an arithmetic number, because the mean of its divisors is an integer number (48897450).

Almost surely, 22483743164 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 2483743164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520616400).

2483743164 is an abundant number, since it is smaller than the sum of its proper divisors (4557489636).

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

2483743164 is a wasteful number, since it uses less digits than its factorization.

2483743164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1443 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 2483743164 is about 49837.1664924883. The cubic root of 2483743164 is about 1354.2605523222.

The spelling of 2483743164 in words is "two billion, four hundred eighty-three million, seven hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 113 116 147 174 196 203 226 294 339 348 406 452 588 609 678 791 812 1218 1289 1356 1421 1582 2373 2436 2578 2842 3164 3277 3867 4263 4746 5156 5537 5684 6554 7734 8526 9023 9492 9831 11074 13108 15468 16611 17052 18046 19662 22148 22939 27069 33222 36092 37381 39324 45878 54138 63161 66444 68817 74762 91756 108276 112143 126322 137634 145657 149524 160573 189483 224286 252644 261667 275268 291314 321146 378966 436971 448572 481719 523334 582628 642292 757932 785001 873942 963438 1019599 1046668 1570002 1747884 1831669 1926876 2039198 3058797 3140004 3663338 4078396 4224053 5495007 6117594 7137193 7326676 8448106 10990014 12235188 12672159 14274386 16896212 21411579 21980028 25344318 28548772 29568371 42823158 50688636 59136742 85646316 88705113 118273484 177410226 206978597 354820452 413957194 620935791 827914388 1241871582 2483743164