Search a number
-
+
152523008649 = 321119237115343
BaseRepresentation
bin1000111000001100010…
…1000110101010001001
3112120200120221122002100
42032003011012222021
54444331342234044
6154022413224013
714006443116414
oct2160305065211
9476616848070
10152523008649
1159759297970
1225687792009
13114c91a659b
14754c8b0b7b
153e7a352869
hex2383146a89

152523008649 has 72 divisors (see below), whose sum is σ = 260512267392. Its totient is φ = 85205442240.

The previous prime is 152523008633. The next prime is 152523008681. The reversal of 152523008649 is 946800325251.

152523008649 is a `hidden beast` number, since 1 + 5 + 2 + 523 + 0 + 0 + 86 + 49 = 666.

It is not a de Polignac number, because 152523008649 - 24 = 152523008633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152523008609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1264672 + ... + 1380014.

It is an arithmetic number, because the mean of its divisors is an integer number (3618225936).

Almost surely, 2152523008649 is an apocalyptic number.

152523008649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

152523008649 is a deficient number, since it is larger than the sum of its proper divisors (107989258743).

152523008649 is a wasteful number, since it uses less digits than its factorization.

152523008649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115435 (or 115413 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 152523008649 in words is "one hundred fifty-two billion, five hundred twenty-three million, eight thousand, six hundred forty-nine".

Divisors: 1 3 9 11 19 33 37 57 99 111 171 209 333 361 407 627 703 1083 1221 1881 2109 3249 3663 3971 6327 7733 11913 13357 23199 35739 40071 69597 115343 120213 146927 346029 440781 1038087 1268773 1322343 2191517 3806319 4267691 6574551 11418957 12803073 19723653 24106687 38409219 41638823 46944601 72320061 81086129 124916469 140833803 216960183 243258387 374749407 422501409 458027053 729775161 891947419 1374081159 1540636451 2675842257 4122243477 4621909353 8027526771 13865728059 16947000961 50841002883 152523008649