Search a number
-
+
153515061128 = 231113237156597
BaseRepresentation
bin1000111011111000110…
…1011110111110001000
3112200020201200010020202
42032332031132332020
510003344323424003
6154305052311332
714043150326612
oct2167615367610
9480221603222
10153515061128
115a118282650
1225903a72548
13116268901a0
14760454ddb2
153ed74b4088
hex23be35ef88

153515061128 has 64 divisors (see below), whose sum is σ = 338311149120. Its totient is φ = 64383609600.

The previous prime is 153515061127. The next prime is 153515061179. The reversal of 153515061128 is 821160515351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153515061091 and 153515061100.

It is not an unprimeable number, because it can be changed into a prime (153515061127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2684126 + ... + 2740722.

It is an arithmetic number, because the mean of its divisors is an integer number (5286111705).

Almost surely, 2153515061128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153515061128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169155574560).

153515061128 is an abundant number, since it is smaller than the sum of its proper divisors (184796087992).

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

153515061128 is a wasteful number, since it uses less digits than its factorization.

153515061128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58998 (or 58994 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 38.

Adding to 153515061128 its reverse (821160515351), we get a palindrome (974675576479).

The spelling of 153515061128 in words is "one hundred fifty-three billion, five hundred fifteen million, sixty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 2371 4742 9484 18968 26081 30823 52162 56597 61646 104324 113194 123292 208648 226388 246584 339053 452776 622567 678106 735761 1245134 1356212 1471522 2490268 2712424 2943044 4980536 5886088 8093371 16186742 32373484 64746968 134191487 268382974 536765948 1073531896 1476106357 1744489331 2952212714 3488978662 5904425428 6977957324 11808850856 13955914648 19189382641 38378765282 76757530564 153515061128