Search a number
-
+
2535302242053 = 337169327072927
BaseRepresentation
bin100100111001001011110…
…010100001111100000101
322222101001120110021022000
4210321023302201330011
5313014244333221203
65220411325455513
7351112103326050
oct44711362417405
98871046407260
102535302242053
11898241025239
1234b437711599
1315510240a269
148a9d03b7a97
1545e37e944a3
hex24e4bca1f05

2535302242053 has 64 divisors (see below), whose sum is σ = 4298165329920. Its totient is φ = 1446859060416.

The previous prime is 2535302241991. The next prime is 2535302242069. The reversal of 2535302242053 is 3502422035352.

2535302242053 is a `hidden beast` number, since 2 + 53 + 530 + 2 + 2 + 4 + 20 + 53 = 666.

It is not a de Polignac number, because 2535302242053 - 212 = 2535302237957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2535302241999 and 2535302242017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535302222053) 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, 866176276 + ... + 866179202.

It is an arithmetic number, because the mean of its divisors is an integer number (67158833280).

Almost surely, 22535302242053 is an apocalyptic number.

It is an amenable number.

2535302242053 is a deficient number, since it is larger than the sum of its proper divisors (1762863087867).

2535302242053 is a wasteful number, since it uses less digits than its factorization.

2535302242053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7343 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 2535302242053 in words is "two trillion, five hundred thirty-five billion, three hundred two million, two hundred forty-two thousand, fifty-three".

Divisors: 1 3 7 9 21 27 63 189 1693 2707 2927 5079 8121 8781 11851 15237 18949 20489 24363 26343 35553 45711 56847 61467 73089 79029 106659 170541 184401 319977 511623 553203 4582951 4955411 7923389 13748853 14866233 23770167 32080657 34687877 41246559 44598699 55463723 71310501 96241971 104063631 123739677 133796097 166391169 213931503 288725913 312190893 499173507 866177739 936572679 1497520521 13414297577 40242892731 93900083039 120728678193 281700249117 362186034579 845100747351 2535302242053