Search a number
-
+
258520881152 = 2111761121727
BaseRepresentation
bin1111000011000100001…
…0111001100000000000
3220201021202122110122002
43300301002321200000
513213422321144102
6314432435403132
724451250142602
oct3606102714000
9821252573562
10258520881152
119a702330396
124212a1534a8
131b4bc4b85c1
14c726349172
156ad0e04902
hex3c310b9800

258520881152 has 96 divisors (see below), whose sum is σ = 556299394560. Its totient is φ = 119661527040.

The previous prime is 258520881139. The next prime is 258520881221. The reversal of 258520881152 is 251188025852.

It is a junction number, because it is equal to n+sod(n) for n = 258520881097 and 258520881106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062913 + ... + 2184639.

It is an arithmetic number, because the mean of its divisors is an integer number (5794785360).

Almost surely, 2258520881152 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 258520881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278149697280).

258520881152 is an abundant number, since it is smaller than the sum of its proper divisors (297778513408).

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

258520881152 is a wasteful number, since it uses less digits than its factorization.

258520881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121827 (or 121807 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 47.

The spelling of 258520881152 in words is "two hundred fifty-eight billion, five hundred twenty million, eight hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 488 512 544 976 1024 1037 1088 1952 2048 2074 2176 3904 4148 4352 7808 8296 8704 15616 16592 17408 31232 33184 34816 62464 66368 121727 124928 132736 243454 265472 486908 530944 973816 1061888 1947632 2069359 2123776 3895264 4138718 7425347 7790528 8277436 14850694 15581056 16554872 29701388 31162112 33109744 59402776 62324224 66219488 118805552 124648448 126230899 132438976 237611104 249296896 252461798 264877952 475222208 504923596 529755904 950444416 1009847192 1059511808 1900888832 2019694384 2119023616 3801777664 4039388768 4238047232 7603555328 8078777536 15207110656 16157555072 32315110144 64630220288 129260440576 258520881152