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728608200345 = 325472811225963
BaseRepresentation
bin10101001101001000110…
…11101101011010011001
32120122122221212112220200
422212210123231122121
543414142144402340
61314415030212413
7103432406342304
oct12464433553231
92518587775820
10728608200345
11261001374a83
12b92614b4109
1353927394c3c
142739c973b3b
1513e4590b330
hexa9a46ed699

728608200345 has 48 divisors (see below), whose sum is σ = 1294382598912. Its totient is φ = 378969373440.

The previous prime is 728608200343. The next prime is 728608200371. The reversal of 728608200345 is 543002806827.

728608200345 is a `hidden beast` number, since 7 + 2 + 8 + 608 + 2 + 0 + 0 + 34 + 5 = 666.

It is not a de Polignac number, because 728608200345 - 21 = 728608200343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 728608200345.

It is not an unprimeable number, because it can be changed into a prime (728608200343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18667 + ... + 1207296.

It is an arithmetic number, because the mean of its divisors is an integer number (26966304144).

Almost surely, 2728608200345 is an apocalyptic number.

It is an amenable number.

728608200345 is a deficient number, since it is larger than the sum of its proper divisors (565774398567).

728608200345 is a wasteful number, since it uses less digits than its factorization.

728608200345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226302 (or 1226299 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 728608200345 in words is "seven hundred twenty-eight billion, six hundred eight million, two hundred thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 47 141 235 281 423 705 843 1405 2115 2529 4215 12645 13207 39621 66035 118863 198105 594315 1225963 3677889 6129815 11033667 18389445 55168335 57620261 172860783 288101305 344495603 518582349 864303915 1033486809 1722478015 2592911745 3100460427 5167434045 15502302135 16191293341 48573880023 80956466705 145721640069 242869400115 728608200345