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645624432240 = 243543487128461
BaseRepresentation
bin10010110010100100011…
…01110000011001110000
32021201110200021100112220
421121102031300121300
541034214323312430
61212332404121040
764434114061314
oct11312215603160
92251420240486
10645624432240
11229898184847
12a5162396180
1348b6103cb88
1423369819b44
1511bda503110
hex9652370670

645624432240 has 160 divisors (see below), whose sum is σ = 2052202031616. Its totient is φ = 167816033280.

The previous prime is 645624432203. The next prime is 645624432251. The reversal of 645624432240 is 42234426546.

It is a junction number, because it is equal to n+sod(n) for n = 645624432192 and 645624432201.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4961610 + ... + 5090070.

Almost surely, 2645624432240 is an apocalyptic number.

645624432240 is a gapful number since it is divisible by the number (60) 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 645624432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026101015808).

645624432240 is an abundant number, since it is smaller than the sum of its proper divisors (1406577599376).

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

645624432240 is a wasteful number, since it uses less digits than its factorization.

645624432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129007 (or 129001 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 645624432240 its reverse (42234426546), we get a palindrome (687858858786).

The spelling of 645624432240 in words is "six hundred forty-five billion, six hundred twenty-four million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 487 516 645 688 860 974 1032 1290 1461 1720 1948 2064 2435 2580 2922 3440 3896 4870 5160 5844 7305 7792 9740 10320 11688 14610 19480 20941 23376 29220 38960 41882 58440 62823 83764 104705 116880 125646 128461 167528 209410 251292 256922 314115 335056 385383 418820 502584 513844 628230 642305 770766 837640 1005168 1027688 1256460 1284610 1541532 1675280 1926915 2055376 2512920 2569220 3083064 3853830 5025840 5138440 5523823 6166128 7707660 10276880 11047646 15415320 16571469 22095292 27619115 30830640 33142938 44190584 55238230 62560507 66285876 82857345 88381168 110476460 125121014 132571752 165714690 187681521 220952920 250242028 265143504 312802535 331429380 375363042 441905840 500484056 625605070 662858760 750726084 938407605 1000968112 1251210140 1325717520 1501452168 1876815210 2502420280 2690101801 3002904336 3753630420 5004840560 5380203602 7507260840 8070305403 10760407204 13450509005 15014521680 16140610806 21520814408 26901018010 32281221612 40351527015 43041628816 53802036020 64562443224 80703054030 107604072040 129124886448 161406108060 215208144080 322812216120 645624432240