Search a number
-
+
539379747315504 = 243311401310951069
BaseRepresentation
bin111101010100100000010001…
…0001111001101111100110000
32121201210012101222122122001000
41322221000202033031330300
51031144144210303044004
65151055345110242000
7221416620650264124
oct17251004217157460
92551705358578030
10539379747315504
11146954736838767
12505b34aa056300
131a1c73a4483a74
14972a1949d1584
15425578976bc39
hex1ea90223cdf30

539379747315504 has 80 divisors (see below), whose sum is σ = 1548233365775200. Its totient is φ = 179791655733504.

The previous prime is 539379747315463. The next prime is 539379747315511. The reversal of 539379747315504 is 405513747973935.

539379747315504 is a `hidden beast` number, since 5 + 3 + 9 + 3 + 7 + 97 + 473 + 15 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43778082 + ... + 54729150.

It is an arithmetic number, because the mean of its divisors is an integer number (19352917072190).

Almost surely, 2539379747315504 is an apocalyptic number.

539379747315504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

539379747315504 is an abundant number, since it is smaller than the sum of its proper divisors (1008853618459696).

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

539379747315504 is a wasteful number, since it uses less digits than its factorization.

539379747315504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11065099 (or 11065087 counting only the distinct ones).

The product of its (nonzero) digits is 1500282000, while the sum is 72.

The spelling of 539379747315504 in words is "five hundred thirty-nine trillion, three hundred seventy-nine billion, seven hundred forty-seven million, three hundred fifteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 114013 228026 342039 456052 684078 912104 1026117 1368156 1824208 2052234 2736312 3078351 4104468 5472624 6156702 8208936 10951069 12313404 16417872 21902138 24626808 32853207 43804276 49253616 65706414 87608552 98559621 131412828 175217104 197119242 262825656 295678863 394238484 525651312 591357726 788476968 1182715452 1576953936 2365430904 4730861808 1248564229897 2497128459794 3745692689691 4994256919588 7491385379382 9988513839176 11237078069073 14982770758764 19977027678352 22474156138146 29965541517528 33711234207219 44948312276292 59931083035056 67422468414438 89896624552584 134844936828876 179793249105168 269689873657752 539379747315504