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12630362624 = 29113760611
BaseRepresentation
bin10111100001101010…
…00000101000000000
31012121020020220022022
423300311000220000
5201331333100444
65445144301012
7624664211435
oct136065005000
935536226268
1012630362624
1153a1568420
122545a71768
131263931469
1487b629b8c
154ddc899ee
hex2f0d40a00

12630362624 has 80 divisors (see below), whose sum is σ = 28274770656. Its totient is φ = 5585817600.

The previous prime is 12630362621. The next prime is 12630362627. The reversal of 12630362624 is 42626303621.

It is an interprime number because it is at equal distance from previous prime (12630362621) and next prime (12630362627).

It is not an unprimeable number, because it can be changed into a prime (12630362621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178079 + ... + 238689.

Almost surely, 212630362624 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 12630362624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137385328).

12630362624 is an abundant number, since it is smaller than the sum of its proper divisors (15644408032).

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

12630362624 is an equidigital number, since it uses as much as digits as its factorization.

12630362624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60677 (or 60661 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 12630362624 in words is "twelve billion, six hundred thirty million, three hundred sixty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 592 704 814 1184 1408 1628 2368 2816 3256 4736 5632 6512 9472 13024 18944 26048 52096 60611 104192 121222 208384 242444 484888 666721 969776 1333442 1939552 2242607 2666884 3879104 4485214 5333768 7758208 8970428 10667536 15516416 17940856 21335072 24668677 31032832 35881712 42670144 49337354 71763424 85340288 98674708 143526848 170680576 197349416 287053696 341361152 394698832 574107392 789397664 1148214784 1578795328 3157590656 6315181312 12630362624