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6740425152 = 263329313313
BaseRepresentation
bin1100100011100001…
…01011100111000000
3122101202022002001000
412101300223213000
5102301022101102
63032502412000
7326014445166
oct62160534700
918352262030
106740425152
1129498811aa
121381431000
138355c0366
1447d2ab236
15296b4301c
hex191c2b9c0

6740425152 has 112 divisors (see below), whose sum is σ = 19884725280. Its totient is φ = 2238971904.

The previous prime is 6740425099. The next prime is 6740425157. The reversal of 6740425152 is 2515240476.

It is a happy number.

6740425152 is a `hidden beast` number, since 67 + 40 + 42 + 515 + 2 = 666.

It is a super-3 number, since 3×67404251523 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740425157) 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, 499648 + ... + 512960.

It is an arithmetic number, because the mean of its divisors is an integer number (177542190).

Almost surely, 26740425152 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 6740425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9942362640).

6740425152 is an abundant number, since it is smaller than the sum of its proper divisors (13144300128).

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

6740425152 is a wasteful number, since it uses less digits than its factorization.

6740425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13627 (or 13611 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 6740425152 is about 82100.0922776583. The cubic root of 6740425152 is about 1888.9875555032.

The spelling of 6740425152 in words is "six billion, seven hundred forty million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 293 432 576 586 864 879 1172 1728 1758 2344 2637 3516 4688 5274 7032 7911 9376 10548 13313 14064 15822 18752 21096 26626 28128 31644 39939 42192 53252 56256 63288 79878 84384 106504 119817 126576 159756 168768 213008 239634 253152 319512 359451 426016 479268 506304 639024 718902 852032 958536 1278048 1437804 1917072 2556096 2875608 3834144 3900709 5751216 7668288 7801418 11502432 11702127 15602836 23004864 23404254 31205672 35106381 46808508 62411344 70212762 93617016 105319143 124822688 140425524 187234032 210638286 249645376 280851048 374468064 421276572 561702096 748936128 842553144 1123404192 1685106288 2246808384 3370212576 6740425152