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5325694272 = 26347971289
BaseRepresentation
bin1001111010110111…
…11010010101000000
3111202011020022010000
410331123322111000
541401334204042
62240244040000
7245655440313
oct47533722500
914664208100
105325694272
112293240a28
121047693000
1366b4848b2
1438744297a
1521283d74c
hex13d6fa540

5325694272 has 140 divisors (see below), whose sum is σ = 15819097140. Its totient is φ = 1771628544.

The previous prime is 5325694267. The next prime is 5325694279. The reversal of 5325694272 is 2724965235.

5325694272 is a `hidden beast` number, since 532 + 5 + 6 + 9 + 42 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3502745856 + 1822948416 = 59184^2 + 42696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5325694279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4131004 + ... + 4132292.

It is an arithmetic number, because the mean of its divisors is an integer number (112993551).

Almost surely, 25325694272 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 5325694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909548570).

5325694272 is an abundant number, since it is smaller than the sum of its proper divisors (10493402868).

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

5325694272 is a wasteful number, since it uses less digits than its factorization.

5325694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2091 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 5325694272 is about 72977.3545149453. The cubic root of 5325694272 is about 1746.3263640459.

The spelling of 5325694272 in words is "five billion, three hundred twenty-five million, six hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 797 864 1289 1296 1594 1728 2391 2578 2592 3188 3867 4782 5156 5184 6376 7173 7734 9564 10312 11601 12752 14346 15468 19128 20624 21519 23202 25504 28692 30936 34803 38256 41248 43038 46404 51008 57384 61872 64557 69606 76512 82496 86076 92808 104409 114768 123744 129114 139212 153024 172152 185616 208818 229536 247488 258228 278424 344304 371232 417636 459072 516456 556848 688608 742464 835272 1027333 1032912 1113696 1377216 1670544 2054666 2065824 2227392 3081999 3341088 4109332 4131648 6163998 6682176 8218664 9245997 12327996 16437328 18491994 24655992 27737991 32874656 36983988 49311984 55475982 65749312 73967976 83213973 98623968 110951964 147935952 166427946 197247936 221903928 295871904 332855892 443807856 591743808 665711784 887615712 1331423568 1775231424 2662847136 5325694272