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12929275560 = 23353713122229
BaseRepresentation
bin11000000101010010…
…10001011010101000
31020101001201020202210
430002221101122220
5202434343304220
65534543125120
7635254012635
oct140251213250
936331636683
1012929275560
11553526a103
122609ba37a0
1312b083b516
148a91d918c
1550a1316e0
hex302a516a8

12929275560 has 128 divisors (see below), whose sum is σ = 40142044800. Its totient is φ = 3328865280.

The previous prime is 12929275559. The next prime is 12929275571. The reversal of 12929275560 is 6557292921.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570526 + ... + 592754.

It is an arithmetic number, because the mean of its divisors is an integer number (313609725).

Almost surely, 212929275560 is an apocalyptic number.

12929275560 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 12929275560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071022400).

12929275560 is an abundant number, since it is smaller than the sum of its proper divisors (27212769240).

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

12929275560 is a wasteful number, since it uses less digits than its factorization.

12929275560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22411 (or 22407 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 12929275560 in words is "twelve billion, nine hundred twenty-nine million, two hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 131 148 185 222 262 296 370 393 444 524 555 655 740 786 888 1048 1110 1310 1480 1572 1965 2220 2620 3144 3930 4440 4847 5240 7860 9694 14541 15720 19388 22229 24235 29082 38776 44458 48470 58164 66687 72705 88916 96940 111145 116328 133374 145410 177832 193880 222290 266748 290820 333435 444580 533496 581640 666870 822473 889160 1333740 1644946 2467419 2667480 2911999 3289892 4112365 4934838 5823998 6579784 8224730 8735997 9869676 11647996 12337095 14559995 16449460 17471994 19739352 23295992 24674190 29119990 32898920 34943988 43679985 49348380 58239980 69887976 87359970 98696760 107743963 116479960 174719940 215487926 323231889 349439880 430975852 538719815 646463778 861951704 1077439630 1292927556 1616159445 2154879260 2585855112 3232318890 4309758520 6464637780 12929275560