Search a number
-
+
12397130880 = 273516134003
BaseRepresentation
bin10111000101110110…
…10011010010000000
31011222222101111111120
423202323103102000
5200342131142010
65410053312240
7616132605501
oct134273232200
934888344446
1012397130880
115291947a12
12249b935680
131227510204
14858676ba8
154c8568e70
hex2e2ed3480

12397130880 has 128 divisors (see below), whose sum is σ = 39550230720. Its totient is φ = 3303026688.

The previous prime is 12397130843. The next prime is 12397130891. The reversal of 12397130880 is 8803179321.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3094959 + ... + 3098961.

Almost surely, 212397130880 is an apocalyptic number.

12397130880 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 12397130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19775115360).

12397130880 is an abundant number, since it is smaller than the sum of its proper divisors (27153099840).

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

12397130880 is a wasteful number, since it uses less digits than its factorization.

12397130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 12397130880 in words is "twelve billion, three hundred ninety-seven million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1613 1920 3226 4003 4839 6452 8006 8065 9678 12009 12904 16012 16130 19356 20015 24018 24195 25808 32024 32260 38712 40030 48036 48390 51616 60045 64048 64520 77424 80060 96072 96780 103232 120090 128096 129040 154848 160120 192144 193560 206464 240180 256192 258080 309696 320240 384288 387120 480360 512384 516160 619392 640480 768576 774240 960720 1032320 1280960 1537152 1548480 1921440 2561920 3096960 3842880 6456839 7685760 12913678 19370517 25827356 32284195 38741034 51654712 64568390 77482068 96852585 103309424 129136780 154964136 193705170 206618848 258273560 309928272 387410340 413237696 516547120 619856544 774820680 826475392 1033094240 1239713088 1549641360 2066188480 2479426176 3099282720 4132376960 6198565440 12397130880