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270055132256 = 25713191485543
BaseRepresentation
bin1111101110000010001…
…0100100110001100000
3221211001121101010121102
43323200202210301200
513411033103213011
6324021150413532
725340134515050
oct3734042446140
9854047333542
10270055132256
11a4591099a18
1244408b012a8
131c609ccac60
14d0dc169560
15705882573b
hex3ee08a4c60

270055132256 has 96 divisors (see below), whose sum is σ = 657791705088. Its totient is φ = 106275432960.

The previous prime is 270055132253. The next prime is 270055132267. The reversal of 270055132256 is 652231550072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270055132253) 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, 313421 + ... + 798963.

It is an arithmetic number, because the mean of its divisors is an integer number (6851996928).

Almost surely, 2270055132256 is an apocalyptic number.

270055132256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270055132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328895852544).

270055132256 is an abundant number, since it is smaller than the sum of its proper divisors (387736572832).

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

270055132256 is a wasteful number, since it uses less digits than its factorization.

270055132256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485764 (or 485756 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The spelling of 270055132256 in words is "two hundred seventy billion, fifty-five million, one hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 191 208 224 364 382 416 728 764 1337 1456 1528 2483 2674 2912 3056 4966 5348 6112 9932 10696 17381 19864 21392 34762 39728 42784 69524 79456 139048 278096 485543 556192 971086 1942172 3398801 3884344 6312059 6797602 7768688 12624118 13595204 15537376 25248236 27190408 44184413 50496472 54380816 88368826 92738713 100992944 108761632 176737652 185477426 201985888 353475304 370954852 649170991 706950608 741909704 1205603269 1298341982 1413901216 1483819408 2411206538 2596683964 2967638816 4822413076 5193367928 8439222883 9644826152 10386735856 16878445766 19289652304 20773471712 33756891532 38579304608 67513783064 135027566128 270055132256