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12927367840 = 255377432939
BaseRepresentation
bin11000000101000011…
…11111101010100000
31020100221010022212111
430002201333222200
5202433401232330
65534434205104
7635231546032
oct140241775240
936327108774
1012927367840
115534186882
122609423794
1312b03210aa
148a8c5dc52
15509da632a
hex30287faa0

12927367840 has 96 divisors (see below), whose sum is σ = 31419239040. Its totient is φ = 5022710784.

The previous prime is 12927367829. The next prime is 12927367847. The reversal of 12927367840 is 4876372921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12927367847) 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, 4397091 + ... + 4400029.

It is an arithmetic number, because the mean of its divisors is an integer number (327283740).

Almost surely, 212927367840 is an apocalyptic number.

12927367840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12927367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709619520).

12927367840 is an abundant number, since it is smaller than the sum of its proper divisors (18491871200).

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

12927367840 is a wasteful number, since it uses less digits than its factorization.

12927367840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 12927367840 in words is "twelve billion, nine hundred twenty-seven million, three hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 743 1184 1480 1486 2939 2960 2972 3715 5878 5920 5944 7430 11756 11888 14695 14860 23512 23776 27491 29390 29720 47024 54982 58780 59440 94048 108743 109964 117560 118880 137455 217486 219928 235120 274910 434972 439856 470240 543715 549820 869944 879712 1087430 1099640 1739888 2174860 2183677 2199280 3479776 4349720 4367354 4398560 8699440 8734708 10918385 17398880 17469416 21836770 34938832 43673540 69877664 80796049 87347080 161592098 174694160 323184196 349388320 403980245 646368392 807960490 1292736784 1615920980 2585473568 3231841960 6463683920 12927367840