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45081067720 = 23513214094733
BaseRepresentation
bin101001111111000010…
…101000000011001000
311022100202222112001211
4221333002220003020
51214311223131340
632413203422504
73154102516213
oct517702500310
9138322875054
1045081067720
11181340a6467
1288a1684a34
134335956500
14227933277a
15128cb035ea
hexa7f0a80c8

45081067720 has 96 divisors (see below), whose sum is σ = 109936261800. Its totient is φ = 16629989376.

The previous prime is 45081067673. The next prime is 45081067777. The reversal of 45081067720 is 2776018054.

It can be written as a sum of positive squares in 12 ways, for example, as 13545700996 + 31535366724 = 116386^2 + 177582^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9522474 + ... + 9527206.

Almost surely, 245081067720 is an apocalyptic number.

45081067720 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 45081067720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54968130900).

45081067720 is an abundant number, since it is smaller than the sum of its proper divisors (64855194080).

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

45081067720 is a wasteful number, since it uses less digits than its factorization.

45081067720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 45081067720 in words is "forty-five billion, eighty-one million, sixty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1409 1690 2818 3380 4733 5636 6760 7045 9466 11272 14090 18317 18932 23665 28180 36634 37864 47330 56360 61529 73268 91585 94660 123058 146536 183170 189320 238121 246116 307645 366340 476242 492232 615290 732680 799877 952484 1190605 1230580 1599754 1904968 2381210 2461160 3199508 3999385 4762420 6399016 6668797 7998770 9524840 13337594 15997540 26675188 31995080 33343985 53350376 66687970 86694361 133375940 173388722 266751880 346777444 433471805 693554888 866943610 1127026693 1733887220 2254053386 3467774440 4508106772 5635133465 9016213544 11270266930 22540533860 45081067720