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45621738560 = 2651753158233
BaseRepresentation
bin101010011111010001…
…000111110001000000
311100202110100110000202
4222133101013301000
51221413131113220
632543000104332
73203356244066
oct523721076100
9140673313022
1045621738560
1118391311472
128a127650a8
1343c097b598
1422cb074036
1512c0302275
hexa9f447c40

45621738560 has 112 divisors (see below), whose sum is σ = 117198227376. Its totient is φ = 16851075072.

The previous prime is 45621738511. The next prime is 45621738587. The reversal of 45621738560 is 6583712654.

It can be written as a sum of positive squares in 8 ways, for example, as 5378168896 + 40243569664 = 73336^2 + 200608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209204 + ... + 367436.

Almost surely, 245621738560 is an apocalyptic number.

45621738560 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 45621738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58599113688).

45621738560 is an abundant number, since it is smaller than the sum of its proper divisors (71576488816).

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

45621738560 is a wasteful number, since it uses less digits than its factorization.

45621738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158320 (or 158310 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 45621738560 in words is "forty-five billion, six hundred twenty-one million, seven hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 64 68 80 85 106 136 160 170 212 265 272 320 340 424 530 544 680 848 901 1060 1088 1360 1696 1802 2120 2720 3392 3604 4240 4505 5440 7208 8480 9010 14416 16960 18020 28832 36040 57664 72080 144160 158233 288320 316466 632932 791165 1265864 1582330 2531728 2689961 3164660 5063456 5379922 6329320 8386349 10126912 10759844 12658640 13449805 16772698 21519688 25317280 26899610 33545396 41931745 43039376 50634560 53799220 67090792 83863490 86078752 107598440 134181584 142567933 167726980 172157504 215196880 268363168 285135866 335453960 430393760 536726336 570271732 670907920 712839665 860787520 1140543464 1341815840 1425679330 2281086928 2683631680 2851358660 4562173856 5702717320 9124347712 11405434640 22810869280 45621738560