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75383800053345 = 32571607268955381
BaseRepresentation
bin10001001000111110101000…
…100111111011111001100001
3100212220121202122020201011100
4101020332220213323321201
534340042010303201340
6424154501211105013
721610204561023060
oct2110765047737141
9325817678221140
1075383800053345
11220240a9973313
128555a76142169
13330a87b0b7144
141488849a721d7
158aad8b7c1830
hex448fa89fbe61

75383800053345 has 96 divisors (see below), whose sum is σ = 149482911951360. Its totient is φ = 34426292060160.

The previous prime is 75383800053337. The next prime is 75383800053413. The reversal of 75383800053345 is 54335000838357.

75383800053345 is a `hidden beast` number, since 7 + 5 + 38 + 38 + 0 + 0 + 0 + 533 + 45 = 666.

It is not a de Polignac number, because 75383800053345 - 23 = 75383800053337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 75383800053291 and 75383800053300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1361157555 + ... + 1361212935.

It is an arithmetic number, because the mean of its divisors is an integer number (1557113666160).

Almost surely, 275383800053345 is an apocalyptic number.

It is an amenable number.

75383800053345 is a deficient number, since it is larger than the sum of its proper divisors (74099111898015).

75383800053345 is a wasteful number, since it uses less digits than its factorization.

75383800053345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59695 (or 59692 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 75383800053345 in words is "seventy-five trillion, three hundred eighty-three billion, eight hundred million, fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1607 2689 4821 8035 8067 11249 13445 14463 18823 24105 24201 33747 40335 55381 56245 56469 72315 94115 101241 121005 166143 168735 169407 276905 282345 387667 498429 506205 830715 847035 1163001 1938335 2492145 3489003 4321223 5815005 12963669 17445015 21606115 30248561 38891007 64818345 88997267 90745683 148919509 151242805 194455035 266991801 272237049 444986335 446758527 453728415 622980869 744597545 800975403 1042436563 1334959005 1340275581 1361185245 1868942607 2233792635 3114904345 3127309689 4004877015 5212182815 5606827821 6701377905 9344713035 9381929067 15636548445 28034139105 46909645335 239313650963 717940952889 1196568254815 1675195556741 2153822858667 3589704764445 5025586670223 8375977783705 10769114293335 15076760010669 25127933351115 75383800053345