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38748612304305 = 325191391138328643
BaseRepresentation
bin10001100111101110111010…
…10001011001110110110001
312002012022221102012111002100
420303313131101121312301
520034324124222214210
6214224511115011013
711106331510116621
oct1063673521316661
9162168842174070
1038748612304305
111138a215520692
1244198a7a39a69
131880c948abc37
1497d62b232881
15472e189275c0
hex233ddd459db1

38748612304305 has 96 divisors (see below), whose sum is σ = 71216591846400. Its totient is φ = 19435009394304.

The previous prime is 38748612304291. The next prime is 38748612304319. The reversal of 38748612304305 is 50340321684783.

It is a happy number.

38748612304305 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 86 + 123 + 0 + 430 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (38748612304291) and next prime (38748612304319).

It is not a de Polignac number, because 38748612304305 - 28 = 38748612304049 is a prime.

It is a Curzon number.

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, 1352798314 + ... + 1352826956.

It is an arithmetic number, because the mean of its divisors is an integer number (741839498400).

Almost surely, 238748612304305 is an apocalyptic number.

It is an amenable number.

38748612304305 is a deficient number, since it is larger than the sum of its proper divisors (32467979542095).

38748612304305 is a wasteful number, since it uses less digits than its factorization.

38748612304305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40195 (or 40192 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 38748612304305 in words is "thirty-eight trillion, seven hundred forty-eight billion, six hundred twelve million, three hundred four thousand, three hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 139 171 285 417 695 855 1251 2085 2641 6255 7923 11383 13205 23769 28643 34149 39615 56915 85929 102447 118845 143215 170745 216277 257787 429645 512235 544217 648831 1081385 1288935 1582237 1632651 1946493 2721085 3244155 3981377 4746711 4897953 7911185 8163255 9732465 11944131 14240133 19906885 23733555 24489765 30062503 35832393 59720655 71200665 75646163 90187509 150312515 179161965 226938489 270562527 326043269 378230815 450937545 680815467 978129807 1134692445 1352812635 1630216345 2934389421 3404077335 4890649035 6194822111 14671947105 18584466333 30974110555 45320014391 55753398999 92922331665 135960043173 226600071955 278766994995 407880129519 679800215865 861080273429 2039400647595 2583240820287 4305401367145 7749722460861 12916204101435 38748612304305