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271840001056 = 25131777367733
BaseRepresentation
bin1111110100101011101…
…1010011110000100000
3221222122222220212022021
43331022323103300200
513423212020013211
6324514230351224
725432306612141
oct3751273236040
9858588825267
10271840001056
11a53176592a8
12448267bb514
131c832a20a40
14d22b223ac8
157110390771
hex3f4aed3c20

271840001056 has 48 divisors (see below), whose sum is σ = 576678987864. Its totient is φ = 125393670144.

The previous prime is 271840001053. The next prime is 271840001057. The reversal of 271840001056 is 650100048172.

It can be written as a sum of positive squares in 4 ways, for example, as 246131085456 + 25708915600 = 496116^2 + 160340^2 .

It is a super-2 number, since 2×2718400010562 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (271840001051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555366 + ... + 923098.

Almost surely, 2271840001056 is an apocalyptic number.

271840001056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

271840001056 is an abundant number, since it is smaller than the sum of its proper divisors (304838986808).

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

271840001056 is a wasteful number, since it uses less digits than its factorization.

271840001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369533 (or 369525 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 271840001056 in words is "two hundred seventy-one billion, eight hundred forty million, one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1777 3554 7108 14216 23101 28432 46202 56864 92404 184808 367733 369616 735466 739232 1470932 2941864 4780529 5883728 9561058 11767456 19122116 38244232 76488464 152976928 653461541 1306923082 2613846164 5227692328 8495000033 10455384656 16990000066 20910769312 33980000132 67960000264 135920000528 271840001056