Search a number
-
+
12964438152 = 233423869863
BaseRepresentation
bin11000001001011110…
…11010000010001000
31020110111212200210000
430010233122002020
5203022344010102
65542240523000
7636161622531
oct140457320210
936414780700
1012964438152
1155530a62a6
122619920460
1312b7c002a3
148adb4d688
1550d27a01c
hex304bda088

12964438152 has 80 divisors (see below), whose sum is σ = 37891275840. Its totient is φ = 4133584224.

The previous prime is 12964438147. The next prime is 12964438199. The reversal of 12964438152 is 25183446921.

12964438152 is a `hidden beast` number, since 1 + 2 + 9 + 64 + 438 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12964438098 and 12964438107.

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 19 ways as a sum of consecutive naturals, for example, 420028 + ... + 449835.

It is an arithmetic number, because the mean of its divisors is an integer number (473640948).

Almost surely, 212964438152 is an apocalyptic number.

12964438152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12964438152 is an abundant number, since it is smaller than the sum of its proper divisors (24926837688).

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

12964438152 is a wasteful number, since it uses less digits than its factorization.

12964438152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869904 (or 869891 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 12964438152 in words is "twelve billion, nine hundred sixty-four million, four hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 869863 1739726 2609589 3479452 5219178 6958904 7828767 10438356 15657534 20006849 20876712 23486301 31315068 40013698 46972602 60020547 62630136 70458903 80027396 93945204 120041094 140917806 160054792 180061641 187890408 240082188 281835612 360123282 480164376 540184923 563671224 720246564 1080369846 1440493128 1620554769 2160739692 3241109538 4321479384 6482219076 12964438152