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664681480 = 235531571997
BaseRepresentation
bin100111100111100…
…011110000001000
31201022201022120121
4213213203300020
52330124301410
6145542233024
722320461611
oct4747436010
91638638517
10664681480
11311217041
12166725774
13a7924668
14643c2c08
153d5479da
hex279e3c08

664681480 has 64 divisors (see below), whose sum is σ = 1534224240. Its totient is φ = 259064832.

The previous prime is 664681471. The next prime is 664681489. The reversal of 664681480 is 84186466.

It is an interprime number because it is at equal distance from previous prime (664681471) and next prime (664681489).

It can be written as a sum of positive squares in 8 ways, for example, as 104980516 + 559700964 = 10246^2 + 23658^2 .

It is not an unprimeable number, because it can be changed into a prime (664681489) 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, 331842 + ... + 333838.

Almost surely, 2664681480 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 664681480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767112120).

664681480 is an abundant number, since it is smaller than the sum of its proper divisors (869542760).

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

664681480 is a wasteful number, since it uses less digits than its factorization.

664681480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 664681480 is about 25781.4173388509. The cubic root of 664681480 is about 872.7124924764.

The spelling of 664681480 in words is "six hundred sixty-four million, six hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 157 212 265 314 424 530 628 785 1060 1256 1570 1997 2120 3140 3994 6280 7988 8321 9985 15976 16642 19970 33284 39940 41605 66568 79880 83210 105841 166420 211682 313529 332840 423364 529205 627058 846728 1058410 1254116 1567645 2116820 2508232 3135290 4233640 6270580 12541160 16617037 33234074 66468148 83085185 132936296 166170370 332340740 664681480