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2575158012 = 2232741475303
BaseRepresentation
bin1001100101111101…
…1100101011111100
320122110121120200200
42121133130223330
520233220024022
61103310323500
7120546324210
oct23137345374
96573546620
102575158012
111101678369
125ba4b9590
1332068594b
141a6016940
15101124bac
hex997dcafc

2575158012 has 144 divisors (see below), whose sum is σ = 7784404992. Its totient is φ = 702408960.

The previous prime is 2575158007. The next prime is 2575158013. The reversal of 2575158012 is 2108515752.

2575158012 is a `hidden beast` number, since 2 + 5 + 75 + 1 + 580 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575158013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482953 + ... + 488255.

It is an arithmetic number, because the mean of its divisors is an integer number (54058368).

Almost surely, 22575158012 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 2575158012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892202496).

2575158012 is an abundant number, since it is smaller than the sum of its proper divisors (5209246980).

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

2575158012 is a wasteful number, since it uses less digits than its factorization.

2575158012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 2575158012 is about 50746.0147400759. The cubic root of 2575158012 is about 1370.6754287555.

The spelling of 2575158012 in words is "two billion, five hundred seventy-five million, one hundred fifty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 47 63 82 84 94 123 126 141 164 188 246 252 282 287 329 369 423 492 564 574 658 738 846 861 987 1148 1316 1476 1692 1722 1927 1974 2583 2961 3444 3854 3948 5166 5303 5781 5922 7708 10332 10606 11562 11844 13489 15909 17343 21212 23124 26978 31818 34686 37121 40467 47727 53956 63636 69372 74242 80934 95454 111363 121401 148484 161868 190908 217423 222726 242802 249241 334089 434846 445452 485604 498482 652269 668178 747723 869692 996964 1304538 1336356 1495446 1521961 1744687 1956807 2243169 2609076 2990892 3043922 3489374 3913614 4486338 4565883 5234061 6087844 6978748 7827228 8972676 9131766 10218881 10468122 13697649 15702183 18263532 20437762 20936244 27395298 30656643 31404366 40875524 54790596 61313286 62808732 71532167 91969929 122626572 143064334 183939858 214596501 286128668 367879716 429193002 643789503 858386004 1287579006 2575158012