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148731096645 = 33519292697433
BaseRepresentation
bin1000101010000100010…
…0000110111001000101
3112012220022210112201000
42022201010012321011
54414100130043040
6152154235323513
713513460314365
oct2124104067105
9465808715630
10148731096645
115809291029a
12249a98b0599
1311043711681
1472ad0469a5
153d074d3130
hex22a1106e45

148731096645 has 128 divisors (see below), whose sum is σ = 289033920000. Its totient is φ = 72277567488.

The previous prime is 148731096541. The next prime is 148731096649. The reversal of 148731096645 is 546690137841.

148731096645 is a `hidden beast` number, since 1 + 487 + 3 + 10 + 96 + 64 + 5 = 666.

It is not a de Polignac number, because 148731096645 - 28 = 148731096389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 148731096591 and 148731096600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148731096649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20005849 + ... + 20013281.

It is an arithmetic number, because the mean of its divisors is an integer number (2258077500).

Almost surely, 2148731096645 is an apocalyptic number.

148731096645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148731096645 is a deficient number, since it is larger than the sum of its proper divisors (140302823355).

148731096645 is a wasteful number, since it uses less digits than its factorization.

148731096645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 148731096645 in words is "one hundred forty-eight billion, seven hundred thirty-one million, ninety-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 19 27 29 45 57 87 95 135 145 171 261 269 285 435 513 551 783 807 855 1305 1345 1653 2421 2565 2755 3915 4035 4959 5111 7263 7433 7801 8265 12105 14877 15333 22299 23403 24795 25555 36315 37165 39005 45999 66897 70209 74385 76665 111495 117015 137997 141227 148219 200691 210627 215557 229995 334485 351045 423681 444657 646671 689985 706135 741095 1003455 1053135 1077785 1271043 1333971 1940013 1999477 2118405 2223285 3233355 3813129 4001913 4095583 5820039 5998431 6355215 6669855 9700065 9997385 12286749 17995293 19065645 20009565 20477915 29100195 29992155 36860247 37990063 53985879 57984833 61433745 89976465 110580741 113970189 173954499 184301235 189950315 269929395 289924165 341910567 521863497 552903705 569850945 869772495 1025731701 1101711827 1565590491 1709552835 2609317485 3305135481 5128658505 5508559135 7827952455 9915406443 16525677405 29746219329 49577032215 148731096645