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45130287520 = 2554135319489
BaseRepresentation
bin101010000001111110…
…011000100110100000
311022111012121010221101
4222001332120212200
51214411323200040
632422122404144
73155241054163
oct520176304640
9138435533841
1045130287520
1118159963a8a
1288b6060654
134342bca756
142281aa5ada
1512920c709a
hexa81f989a0

45130287520 has 96 divisors (see below), whose sum is σ = 109535826960. Its totient is φ = 17561026560.

The previous prime is 45130287497. The next prime is 45130287539. The reversal of 45130287520 is 2578203154.

It can be written as a sum of positive squares in 8 ways, for example, as 154057744 + 44976229776 = 12412^2 + 212076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45130287520.

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, 2305936 + ... + 2325424.

Almost surely, 245130287520 is an apocalyptic number.

45130287520 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 45130287520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54767913480).

45130287520 is an abundant number, since it is smaller than the sum of its proper divisors (64405539440).

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

45130287520 is a wasteful number, since it uses less digits than its factorization.

45130287520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 45130287520 in words is "forty-five billion, one hundred thirty million, two hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 353 410 656 706 820 1312 1412 1640 1765 2824 3280 3530 5648 6560 7060 11296 14120 14473 19489 28240 28946 38978 56480 57892 72365 77956 97445 115784 144730 155912 194890 231568 289460 311824 389780 463136 578920 623648 779560 799049 1157840 1559120 1598098 2315680 3118240 3196196 3995245 6392392 6879617 7990490 12784784 13759234 15980980 25569568 27518468 31961960 34398085 55036936 63923920 68796170 110073872 127847840 137592340 220147744 275184680 282064297 550369360 564128594 1100738720 1128257188 1410321485 2256514376 2820642970 4513028752 5641285940 9026057504 11282571880 22565143760 45130287520