Search a number
-
+
145524555252 = 223217317670491
BaseRepresentation
bin1000011110000111110…
…0000111110111110100
3111220121212010100211200
42013201330013313310
54341013241232002
6150504132132500
713341143211246
oct2074174076764
9456555110750
10145524555252
11567978aa28a
1224253a67130
13109522c25bb
147087238096
153bbac41b1c
hex21e1f07df4

145524555252 has 72 divisors (see below), whose sum is σ = 402056508672. Its totient is φ = 44182022400.

The previous prime is 145524555181. The next prime is 145524555287. The reversal of 145524555252 is 252555425541.

145524555252 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 45 + 552 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145524555198 and 145524555207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3816274 + ... + 3854217.

It is an arithmetic number, because the mean of its divisors is an integer number (5584118176).

Almost surely, 2145524555252 is an apocalyptic number.

145524555252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145524555252 is an abundant number, since it is smaller than the sum of its proper divisors (256531953420).

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

145524555252 is a wasteful number, since it uses less digits than its factorization.

145524555252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670549 (or 7670544 counting only the distinct ones).

The product of its digits is 2000000, while the sum is 45.

The spelling of 145524555252 in words is "one hundred forty-five billion, five hundred twenty-four million, five hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 9486 18972 7670491 15340982 23011473 30681964 46022946 69034419 92045892 130398347 138068838 237785221 260796694 276137676 391195041 475570442 521593388 713355663 782390082 951140884 1173585123 1426711326 1564780164 2140066989 2347170246 2853422652 4042348757 4280133978 4694340492 8084697514 8560267956 12127046271 16169395028 24254092542 36381138813 48508185084 72762277626 145524555252