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65380260480 = 2735174119559
BaseRepresentation
bin111100111000111101…
…111001101010000000
320020202110111100121220
4330320331321222000
52032344321313410
650011341515040
74503120021213
oct747075715200
9206673440556
1065380260480
11258004a8427
1210807872a80
13621c308682
14324325b77a
151a79c6e070
hexf38f79a80

65380260480 has 128 divisors (see below), whose sum is σ = 208529942400. Its totient is φ = 17423831040.

The previous prime is 65380260457. The next prime is 65380260497. The reversal of 65380260480 is 8406208356.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3332941 + ... + 3352499.

It is an arithmetic number, because the mean of its divisors is an integer number (1629140175).

Almost surely, 265380260480 is an apocalyptic number.

65380260480 is a gapful number since it is divisible by the number (60) 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 65380260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104264971200).

65380260480 is an abundant number, since it is smaller than the sum of its proper divisors (143149681920).

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

65380260480 is a wasteful number, since it uses less digits than its factorization.

65380260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21322 (or 21310 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 65380260480 in words is "sixty-five billion, three hundred eighty million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1741 1920 3482 5223 6964 8705 10446 13928 17410 19559 20892 26115 27856 34820 39118 41784 52230 55712 58677 69640 78236 83568 97795 104460 111424 117354 139280 156472 167136 195590 208920 222848 234708 278560 293385 312944 334272 391180 417840 469416 557120 586770 625888 668544 782360 835680 938832 1114240 1173540 1251776 1564720 1671360 1877664 2347080 2503552 3129440 3342720 3755328 4694160 6258880 7510656 9388320 12517760 18776640 34052219 37553280 68104438 102156657 136208876 170261095 204313314 272417752 340522190 408626628 510783285 544835504 681044380 817253256 1021566570 1089671008 1362088760 1634506512 2043133140 2179342016 2724177520 3269013024 4086266280 4358684032 5448355040 6538026048 8172532560 10896710080 13076052096 16345065120 21793420160 32690130240 65380260480