Search a number
-
+
28601571457460 = 22529137359949301
BaseRepresentation
bin1101000000011010100101…
…00000011011100110110100
310202021021122200200021101102
412200031102200123212310
512222102004243114320
6140455214110145232
76011252414040611
oct640152240334664
9122237580607342
1028601571457460
1191279494a0041
12325b2144b2218
1312c6169286681
1470c475765508
15348ed4acb175
hex1a035281b9b4

28601571457460 has 48 divisors (see below), whose sum is σ = 62587984631760. Its totient is φ = 10965495475200.

The previous prime is 28601571457453. The next prime is 28601571457531. The reversal of 28601571457460 is 6475417510682.

It can be written as a sum of positive squares in 8 ways, for example, as 1951156398244 + 26650415059216 = 1396838^2 + 5162404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28601571457396 and 28601571457405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179895191 + ... + 180054110.

It is an arithmetic number, because the mean of its divisors is an integer number (1303916346495).

Almost surely, 228601571457460 is an apocalyptic number.

28601571457460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28601571457460 is an abundant number, since it is smaller than the sum of its proper divisors (33986413174300).

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

28601571457460 is a wasteful number, since it uses less digits than its factorization.

28601571457460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359949476 (or 359949474 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 28601571457460 in words is "twenty-eight trillion, six hundred one billion, five hundred seventy-one million, four hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 137 145 274 290 548 580 685 1370 2740 3973 7946 15892 19865 39730 79460 359949301 719898602 1439797204 1799746505 3599493010 7198986020 10438529729 20877059458 41754118916 49313054237 52192648645 98626108474 104385297290 197252216948 208770594580 246565271185 493130542370 986261084740 1430078572873 2860157145746 5720314291492 7150392864365 14300785728730 28601571457460