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48530742435 = 335731761651
BaseRepresentation
bin101101001100101010…
…000101110010100011
311122021012011011011000
4231030222011302203
51243342332224220
634143354123043
73335431335000
oct551452056243
9148235134130
1048530742435
11196443800aa
1294a4a20483
134765552656
1424c55508a7
1513e08be390
hexb4ca85ca3

48530742435 has 128 divisors (see below), whose sum is σ = 106534656000. Its totient is φ = 20880115200.

The previous prime is 48530742409. The next prime is 48530742467. The reversal of 48530742435 is 53424703584.

48530742435 is a `hidden beast` number, since 4 + 8 + 530 + 74 + 2 + 43 + 5 = 666.

It is not a de Polignac number, because 48530742435 - 212 = 48530738339 is a prime.

It is a super-2 number, since 2×485307424352 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 756360 + ... + 818010.

It is an arithmetic number, because the mean of its divisors is an integer number (832302000).

Almost surely, 248530742435 is an apocalyptic number.

48530742435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48530742435 is an abundant number, since it is smaller than the sum of its proper divisors (58003913565).

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

48530742435 is a wasteful number, since it uses less digits than its factorization.

48530742435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61703 (or 61683 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 48530742435 in words is "forty-eight billion, five hundred thirty million, seven hundred forty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 49 51 63 85 105 119 135 147 153 189 245 255 315 343 357 441 459 595 735 765 833 945 1029 1071 1323 1715 1785 2205 2295 2499 3087 3213 4165 5145 5355 5831 6615 7497 9261 12495 15435 16065 17493 22491 29155 37485 46305 52479 61651 87465 112455 157437 184953 262395 308255 431557 554859 787185 924765 1048067 1294671 1664577 2157785 2774295 3020899 3144201 3884013 5240335 6473355 7336469 8322885 9062697 9432603 11652039 15104495 15721005 19420065 21146293 22009407 27188091 28297809 36682345 45313485 47163015 51355283 58260195 63438879 66028221 81564273 105731465 110047035 135940455 141489045 154065849 190316637 198084663 256776415 317194395 330141105 359486981 407821365 462197547 570949911 770329245 951583185 990423315 1078460943 1386592641 1797434905 2310987735 2854749555 3235382829 5392304715 6932963205 9706148487 16176914145 48530742435