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518387153240 = 235112373701699
BaseRepresentation
bin1111000101100100100…
…10000011100101011000
31211120001021212212200002
413202302102003211120
531443124102400430
61034051015432132
752311055046165
oct7426222034530
91746037785602
10518387153240
1118a935040910
1284572985648
1339b646423c8
141b13922d06c
15d73eeb3845
hex78b2483958

518387153240 has 128 divisors (see below), whose sum is σ = 1345916736000. Its totient is φ = 177838341120.

The previous prime is 518387153197. The next prime is 518387153257. The reversal of 518387153240 is 42351783815.

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, 387911 + ... + 1089609.

It is an arithmetic number, because the mean of its divisors is an integer number (10514974500).

Almost surely, 2518387153240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518387153240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672958368000).

518387153240 is an abundant number, since it is smaller than the sum of its proper divisors (827529582760).

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

518387153240 is a wasteful number, since it uses less digits than its factorization.

518387153240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701817 (or 701813 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 518387153240 in words is "five hundred eighteen billion, three hundred eighty-seven million, one hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 73 88 92 110 115 146 184 220 230 253 292 365 440 460 506 584 730 803 920 1012 1265 1460 1606 1679 2024 2530 2920 3212 3358 4015 5060 6424 6716 8030 8395 10120 13432 16060 16790 18469 32120 33580 36938 67160 73876 92345 147752 184690 369380 701699 738760 1403398 2806796 3508495 5613592 7016990 7718689 14033980 15437378 16139077 28067960 30874756 32278154 38593445 51224027 61749512 64556308 77186890 80695385 102448054 129112616 154373780 161390770 177529847 204896108 256120135 308747560 322781540 355059694 409792216 512240270 563464297 645563080 710119388 887649235 1024480540 1126928594 1178152621 1420238776 1775298470 2048961080 2253857188 2356305242 2817321485 3550596940 4507714376 4712610484 5634642970 5890763105 7101193880 9425220968 11269285940 11781526210 12959678831 22538571880 23563052420 25919357662 47126104840 51838715324 64798394155 103677430648 129596788310 259193576620 518387153240