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5427720672 = 253115396979
BaseRepresentation
bin1010000111000010…
…00111000111100000
3112000021012210000120
411003201013013200
542103444030142
62254330520240
7251334602343
oct50341070740
915007183016
105427720672
112335896970
121075896080
1368665784a
14396c0045a
1521b7937ec
hex1438471e0

5427720672 has 96 divisors (see below), whose sum is σ = 15836446080. Its totient is φ = 1613713920.

The previous prime is 5427720629. The next prime is 5427720677. The reversal of 5427720672 is 2760277245.

It is a happy number.

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

It is a super-2 number, since 2×54277206722 = 58920303386512263168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5427720677) 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 15 ways as a sum of consecutive naturals, for example, 7479 + ... + 104457.

It is an arithmetic number, because the mean of its divisors is an integer number (164962980).

Almost surely, 25427720672 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 5427720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918223040).

5427720672 is an abundant number, since it is smaller than the sum of its proper divisors (10408725408).

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

5427720672 is a wasteful number, since it uses less digits than its factorization.

5427720672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97056 (or 97048 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 5427720672 is about 73673.0661232448. The cubic root of 5427720672 is about 1757.4075848580.

The spelling of 5427720672 in words is "five billion, four hundred twenty-seven million, seven hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 13992 18656 27984 55968 96979 193958 290937 387916 581874 775832 1066769 1163748 1551664 2133538 2327496 3103328 3200307 4267076 4654992 5139887 6400614 8534152 9309984 10279774 12801228 15419661 17068304 20559548 25602456 30839322 34136608 41119096 51204912 56538757 61678644 82238192 102409824 113077514 123357288 164476384 169616271 226155028 246714576 339232542 452310056 493429152 678465084 904620112 1356930168 1809240224 2713860336 5427720672