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2747062272 = 21133114423
BaseRepresentation
bin1010001110111100…
…1101100000000000
321002110002020000010
42203233031200000
521111221443042
61132331024520
7125034433623
oct24357154000
97073066003
102747062272
11118a7105a9
12647b9b140
1334a183946
141c0ba3dba
1511127e59c
hexa3bcd800

2747062272 has 96 divisors (see below), whose sum is σ = 7560483840. Its totient is φ = 886087680.

The previous prime is 2747062229. The next prime is 2747062273. The reversal of 2747062272 is 2722607472.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-5 number, since 5×27470622725 (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2747062272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2747062273) by changing a digit.

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, 183253 + ... + 197675.

It is an arithmetic number, because the mean of its divisors is an integer number (78755040).

Almost surely, 22747062272 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 2747062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780241920).

2747062272 is an abundant number, since it is smaller than the sum of its proper divisors (4813421568).

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

2747062272 is a wasteful number, since it uses less digits than its factorization.

2747062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14479 (or 14459 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 2747062272 is about 52412.4247864950. The cubic root of 2747062272 is about 1400.5206009443.

The spelling of 2747062272 in words is "two billion, seven hundred forty-seven million, sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 5952 6144 7936 11904 14423 15872 23808 28846 31744 43269 47616 57692 63488 86538 95232 115384 173076 190464 230768 346152 447113 461536 692304 894226 923072 1341339 1384608 1788452 1846144 2682678 2769216 3576904 3692288 5365356 5538432 7153808 7384576 10730712 11076864 14307616 14769152 21461424 22153728 28615232 29538304 42922848 44307456 57230464 85845696 88614912 114460928 171691392 228921856 343382784 457843712 686765568 915687424 1373531136 2747062272