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45640053280 = 2558319317807
BaseRepresentation
bin101010100000010110…
…111111001000100000
311100210201210221002201
4222200112333020200
51221432323201110
632544452422544
73204001023553
oct524026771040
9140721727081
1045640053280
11183a06905a8
128a18917a54
1343c46c18b3
1422cd68069a
1512c1c1db3a
hexaa05bf220

45640053280 has 96 divisors (see below), whose sum is σ = 109695285504. Its totient is φ = 17941610496.

The previous prime is 45640053223. The next prime is 45640053287. The reversal of 45640053280 is 8235004654.

It is not an unprimeable number, because it can be changed into a prime (45640053287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2554137 + ... + 2571943.

It is an arithmetic number, because the mean of its divisors is an integer number (1142659224).

Almost surely, 245640053280 is an apocalyptic number.

45640053280 is a gapful number since it is divisible by the number (40) 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 45640053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54847642752).

45640053280 is an abundant number, since it is smaller than the sum of its proper divisors (64055232224).

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

45640053280 is a wasteful number, since it uses less digits than its factorization.

45640053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18098 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 45640053280 in words is "forty-five billion, six hundred forty million, fifty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 193 332 386 415 664 772 830 965 1328 1544 1660 1930 2656 3088 3320 3860 6176 6640 7720 13280 15440 16019 17807 30880 32038 35614 64076 71228 80095 89035 128152 142456 160190 178070 256304 284912 320380 356140 512608 569824 640760 712280 1281520 1424560 1477981 2563040 2849120 2955962 3436751 5911924 6873502 7389905 11823848 13747004 14779810 17183755 23647696 27494008 29559620 34367510 47295392 54988016 59119240 68735020 109976032 118238480 137470040 236476960 274940080 285250333 549880160 570500666 1141001332 1426251665 2282002664 2852503330 4564005328 5705006660 9128010656 11410013320 22820026640 45640053280