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6140413552 = 247132401809
BaseRepresentation
bin1011011011111111…
…10100011001110000
3120211221021022212011
411231333310121300
5100033421213202
62453150212304
7305110440220
oct55577643160
916757238764
106140413552
112671115649
1212344b4094
1376b1bc400
14423720080
1525e121bd7
hex16dff4670

6140413552 has 120 divisors (see below), whose sum is σ = 14777938080. Its totient is φ = 2420121600.

The previous prime is 6140413541. The next prime is 6140413553. The reversal of 6140413552 is 2553140416.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140413553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7589724 + ... + 7590532.

It is an arithmetic number, because the mean of its divisors is an integer number (123149484).

Almost surely, 26140413552 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 6140413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388969040).

6140413552 is an abundant number, since it is smaller than the sum of its proper divisors (8637524528).

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

6140413552 is a wasteful number, since it uses less digits than its factorization.

6140413552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 6140413552 is about 78360.7909097401. The cubic root of 6140413552 is about 1831.1863421484.

Adding to 6140413552 its reverse (2553140416), we get a palindrome (8693553968).

The spelling of 6140413552 in words is "six billion, one hundred forty million, four hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 401 676 728 802 809 1183 1352 1456 1604 1618 2366 2704 2807 3208 3236 4732 5213 5614 5663 6416 6472 9464 10426 10517 11228 11326 12944 18928 20852 21034 22456 22652 36491 41704 42068 44912 45304 67769 72982 73619 83408 84136 90608 135538 136721 145964 147238 168272 271076 273442 291928 294476 324409 474383 542152 546884 583856 588952 648818 948766 957047 1084304 1093768 1177904 1297636 1897532 1914094 2187536 2270863 2595272 3795064 3828188 4217317 4541726 5190544 7590128 7656376 8434634 9083452 15312752 16869268 18166904 29521219 33738536 36333808 54825121 59042438 67477072 109650242 118084876 219300484 236169752 383775847 438600968 472339504 767551694 877201936 1535103388 3070206776 6140413552