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12607705000 = 235411415591
BaseRepresentation
bin10111011110111101…
…00100111110101000
31012112122121202220001
423233132210332220
5201310033030000
65443014512344
7624300503302
oct135736447650
935478552801
1012607705000
11538a7a2410
12253a3656b4
13125c02a497
1487860c972
154dbcb146a
hex2ef7a4fa8

12607705000 has 160 divisors (see below), whose sum is σ = 33017181120. Its totient is φ = 4472000000.

The previous prime is 12607704997. The next prime is 12607705039. The reversal of 12607705000 is 50770621.

It is a self number, because there is not a number n which added to its sum of digits gives 12607705000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2252205 + ... + 2257795.

It is an arithmetic number, because the mean of its divisors is an integer number (206357382).

Almost surely, 212607705000 is an apocalyptic number.

12607705000 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 12607705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508590560).

12607705000 is an abundant number, since it is smaller than the sum of its proper divisors (20409476120).

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

12607705000 is a wasteful number, since it uses less digits than its factorization.

12607705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 12607705000 in words is "twelve billion, six hundred seven million, seven hundred five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 625 820 902 1000 1025 1100 1250 1375 1640 1804 2050 2200 2255 2500 2750 3608 4100 4510 5000 5125 5500 5591 6875 8200 9020 10250 11000 11182 11275 13750 18040 20500 22364 22550 25625 27500 27955 41000 44728 45100 51250 55000 55910 56375 61501 90200 102500 111820 112750 123002 139775 205000 223640 225500 229231 246004 279550 281875 307505 451000 458462 492008 559100 563750 615010 698875 916924 1118200 1127500 1146155 1230020 1397750 1537525 1833848 2255000 2292310 2460040 2521541 2795500 3075050 3494375 4584620 5043082 5591000 5730775 6150100 6988750 7687625 9169240 10086164 11461550 12300200 12607705 13977500 15375250 20172328 22923100 25215410 27955000 28653875 30750500 38438125 45846200 50430820 57307750 61501000 63038525 76876250 100861640 114615500 126077050 143269375 153752500 229231000 252154100 286538750 307505000 315192625 504308200 573077500 630385250 1146155000 1260770500 1575963125 2521541000 3151926250 6303852500 12607705000