Search a number
-
+
153335522322045 = 33571049154680469
BaseRepresentation
bin100010110111010100110101…
…010101101110011001111101
3202002220201210012012000201000
4202313110311111232121331
5130044222122203301140
61302041211055240513
744204061120533220
oct4267246525563175
9662821705160630
10153335522322045
11449482589a1588
1215245550219139
1367736296ba78b
1429c169c0875b7
1512ad91eb89a30
hex8b753556e67d

153335522322045 has 64 divisors (see below), whose sum is σ = 311835827520000. Its totient is φ = 70029416360448.

The previous prime is 153335522322041. The next prime is 153335522322121. The reversal of 153335522322045 is 540223225533351.

153335522322045 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 3 + 552 + 2 + 32 + 20 + 45 = 666.

It is not a de Polignac number, because 153335522322045 - 22 = 153335522322041 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153335522322041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76348930 + ... + 78331539.

It is an arithmetic number, because the mean of its divisors is an integer number (4872434805000).

Almost surely, 2153335522322045 is an apocalyptic number.

153335522322045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153335522322045 is an abundant number, since it is smaller than the sum of its proper divisors (158500305197955).

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

153335522322045 is a wasteful number, since it uses less digits than its factorization.

153335522322045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154681539 (or 154681533 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

Adding to 153335522322045 its reverse (540223225533351), we get a palindrome (693558747855396).

The spelling of 153335522322045 in words is "one hundred fifty-three trillion, three hundred thirty-five billion, five hundred twenty-two million, three hundred twenty-two thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1049 3147 5245 7343 9441 15735 22029 28323 36715 47205 66087 110145 141615 198261 330435 991305 154680469 464041407 773402345 1082763283 1392124221 2320207035 3248289849 4176372663 5413816415 6960621105 9744869547 16241449245 20881863315 29234608641 48724347735 146173043205 162259811981 486779435943 811299059905 1135818683867 1460338307829 2433897179715 3407456051601 4381014923487 5679093419335 7301691539145 10222368154803 17037280258005 21905074617435 30667104464409 51111840774015 153335522322045