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12620877824 = 212892389
BaseRepresentation
bin10111100000100001…
…10101000000000000
31012120120102000121102
423300100311000000
5201321421042244
65444205113532
7624520456112
oct136020650000
935516360542
1012620877824
11539717a345
1225428588a8
131261990259
1487a27b3b2
154dd01454e
hex2f0435000

12620877824 has 78 divisors (see below), whose sum is σ = 25591059390. Its totient is φ = 6223495168.

The previous prime is 12620877781. The next prime is 12620877839. The reversal of 12620877824 is 42877802621.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 76877824 + 12544000000 = 8768^2 + 112000^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32444222 + ... + 32444610.

It is an arithmetic number, because the mean of its divisors is an integer number (328090505).

Almost surely, 212620877824 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 12620877824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12795529695).

12620877824 is an abundant number, since it is smaller than the sum of its proper divisors (12970181566).

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

12620877824 is an frugal number, since it uses more digits than its factorization.

12620877824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The spelling of 12620877824 in words is "twelve billion, six hundred twenty million, eight hundred seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 389 512 712 778 1024 1424 1556 2048 2848 3112 4096 5696 6224 7921 11392 12448 15842 22784 24896 31684 34621 45568 49792 63368 69242 91136 99584 126736 138484 182272 199168 253472 276968 364544 398336 506944 553936 796672 1013888 1107872 1593344 2027776 2215744 3081269 4055552 4431488 6162538 8111104 8862976 12325076 16222208 17725952 24650152 32444416 35451904 49300304 70903808 98600608 141807616 197201216 394402432 788804864 1577609728 3155219456 6310438912 12620877824