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12412015504 = 247236178989
BaseRepresentation
bin10111000111101000…
…00101001110010000
31012001000101201100221
423203310011032100
5200404433444004
65411344322424
7616403251060
oct134364051620
935030351327
1012412015504
11529a293a59
1224a4913414
13122a622195
1485a62d3a0
154c9a09354
hex2e3d05390

12412015504 has 80 divisors (see below), whose sum is σ = 29149205760. Its totient is φ = 5004679680.

The previous prime is 12412015493. The next prime is 12412015519. The reversal of 12412015504 is 40551021421.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117642 + ... + 196630.

It is an arithmetic number, because the mean of its divisors is an integer number (364365072).

Almost surely, 212412015504 is an apocalyptic number.

12412015504 is a gapful number since it is divisible by the number (14) 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 12412015504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574602880).

12412015504 is an abundant number, since it is smaller than the sum of its proper divisors (16737190256).

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

12412015504 is a wasteful number, since it uses less digits than its factorization.

12412015504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79088 (or 79082 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 12412015504 its reverse (40551021421), we get a palindrome (52963036925).

The spelling of 12412015504 in words is "twelve billion, four hundred twelve million, fifteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 61 92 112 122 161 184 244 322 368 427 488 644 854 976 1288 1403 1708 2576 2806 3416 5612 6832 9821 11224 19642 22448 39284 78568 78989 157136 157978 315956 552923 631912 1105846 1263824 1816747 2211692 3633494 4423384 4818329 7266988 8846768 9636658 12717229 14533976 19273316 25434458 29067952 33728303 38546632 50868916 67456606 77093264 101737832 110821567 134913212 203475664 221643134 269826424 443286268 539652848 775750969 886572536 1551501938 1773145072 3103003876 6206007752 12412015504