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6140660416 = 261167211617
BaseRepresentation
bin1011011100000001…
…10000101011000000
3120211221201212111021
411232000300223000
5100034002113131
62453155355224
7305112516022
oct55600605300
916757655437
106140660416
112671274070
1212345b2b14
1376b277897
14423786012
1525e16ee11
hex16e030ac0

6140660416 has 112 divisors (see below), whose sum is σ = 13577450112. Its totient is φ = 2732083200.

The previous prime is 6140660413. The next prime is 6140660437.

6140660416 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6140660411) 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, 9952140 + ... + 9952756.

Almost surely, 26140660416 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 6140660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788725056).

6140660416 is an abundant number, since it is smaller than the sum of its proper divisors (7436789696).

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

6140660416 is a wasteful number, since it uses less digits than its factorization.

6140660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 6140660416 is about 78362.3660694341. The cubic root of 6140660416 is about 1831.2108816425.

The spelling of 6140660416 in words is "six billion, one hundred forty million, six hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 211 268 352 422 536 617 704 737 844 1072 1234 1474 1688 2144 2321 2468 2948 3376 4288 4642 4936 5896 6752 6787 9284 9872 11792 13504 13574 14137 18568 19744 23584 27148 28274 37136 39488 41339 47168 54296 56548 74272 82678 108592 113096 130187 148544 155507 165356 217184 226192 260374 311014 330712 434368 452384 454729 520748 622028 661424 904768 909458 1041496 1244056 1322848 1432057 1818916 2082992 2488112 2645696 2864114 3637832 4165984 4976224 5728228 7275664 8331968 8722529 9952448 11456456 14551328 17445058 22912912 29102656 34890116 45825824 69780232 91651648 95947819 139560464 191895638 279120928 383791276 558241856 767582552 1535165104 3070330208 6140660416