Search a number
-
+
1452563456540 = 2257151661103951
BaseRepresentation
bin10101001000110011100…
…001110110001000011100
312010212022122102001101112
4111020303201312020130
5142244322221102130
63031144244001152
7206641606443020
oct25106341661034
95125278361345
101452563456540
11510035226169
121b56246901b8
13a6c8c793391
1450439588380
1527bb7ab7495
hex1523387621c

1452563456540 has 96 divisors (see below), whose sum is σ = 3514582192128. Its totient is φ = 493970400000.

The previous prime is 1452563456471. The next prime is 1452563456557. The reversal of 1452563456540 is 456543652541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13921565 + ... + 14025515.

It is an arithmetic number, because the mean of its divisors is an integer number (36610231168).

Almost surely, 21452563456540 is an apocalyptic number.

1452563456540 is a gapful number since it is divisible by the number (10) 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 1452563456540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757291096064).

1452563456540 is an abundant number, since it is smaller than the sum of its proper divisors (2062018735588).

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

1452563456540 is a wasteful number, since it uses less digits than its factorization.

1452563456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104779 (or 104777 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 50.

The spelling of 1452563456540 in words is "one trillion, four hundred fifty-two billion, five hundred sixty-three million, four hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 661 755 1057 1322 1510 2114 2644 3020 3305 4228 4627 5285 6610 9254 10570 13220 18508 21140 23135 46270 92540 99811 103951 199622 207902 399244 415804 499055 519755 698677 727657 998110 1039510 1397354 1455314 1996220 2079020 2794708 2910628 3493385 3638285 6986770 7276570 13973540 14553140 15696601 31393202 62786404 68711611 78483005 109876207 137423222 156966010 219752414 274846444 313932020 343558055 439504828 480981277 549381035 687116110 961962554 1098762070 1374232220 1923925108 2197524140 2404906385 4809812770 9619625540 10375453261 20750906522 41501813044 51877266305 72628172827 103754532610 145256345654 207509065220 290512691308 363140864135 726281728270 1452563456540