Search a number
-
+
6424906464 = 2532109204667
BaseRepresentation
bin1011111101111010…
…00100101011100000
3121120202121001202200
411332331010223200
5101124234001324
62541312013200
7315133542504
oct57675045340
917522531680
106424906464
1127a7768359
1212b3831200
137b511ab02
1444d418304
152790baec9
hex17ef44ae0

6424906464 has 72 divisors (see below), whose sum is σ = 18438540120. Its totient is φ = 2121977088.

The previous prime is 6424906463. The next prime is 6424906489. The reversal of 6424906464 is 4646094246.

6424906464 is a `hidden beast` number, since 6 + 42 + 490 + 64 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×64249064642 = 82558846142297966592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424906463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70942 + ... + 133725.

It is an arithmetic number, because the mean of its divisors is an integer number (256090835).

Almost surely, 26424906464 is an apocalyptic number.

It is an amenable number.

6424906464 is an abundant number, since it is smaller than the sum of its proper divisors (12013633656).

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

6424906464 is a wasteful number, since it uses less digits than its factorization.

6424906464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204792 (or 204781 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 6424906464 is about 80155.5142457461. The cubic root of 6424906464 is about 1859.0408651886.

The spelling of 6424906464 in words is "six billion, four hundred twenty-four million, nine hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 204667 409334 614001 818668 1228002 1637336 1842003 2456004 3274672 3684006 4912008 6549344 7368012 9824016 14736024 19648032 22308703 29472048 44617406 58944096 66926109 89234812 133852218 178469624 200778327 267704436 356939248 401556654 535408872 713878496 803113308 1070817744 1606226616 2141635488 3212453232 6424906464