Search a number
-
+
13476423000 = 233539114931
BaseRepresentation
bin11001000110100000…
…11110010101011000
31021210012021012221210
430203100132111120
5210044431014000
610105130303120
7654646463655
oct144320362530
937705235853
1013476423000
1157960a9077
122741287aa0
131369cc04c1
1491bb44c2c
1553d1ae350
hex32341e558

13476423000 has 128 divisors (see below), whose sum is σ = 42101130240. Its totient is φ = 3589040000.

The previous prime is 13476422983. The next prime is 13476423001. The reversal of 13476423000 is 32467431.

It is a super-2 number, since 2×134764230002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13476423001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730535 + ... + 2735465.

It is an arithmetic number, because the mean of its divisors is an integer number (328915080).

Almost surely, 213476423000 is an apocalyptic number.

13476423000 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 13476423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21050565120).

13476423000 is an abundant number, since it is smaller than the sum of its proper divisors (28624707240).

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

13476423000 is a wasteful number, since it uses less digits than its factorization.

13476423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 13476423000 in words is "thirteen billion, four hundred seventy-six million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 911 1000 1500 1822 2733 3000 3644 4555 4931 5466 7288 9110 9862 10932 13665 14793 18220 19724 21864 22775 24655 27330 29586 36440 39448 45550 49310 54660 59172 68325 73965 91100 98620 109320 113875 118344 123275 136650 147930 182200 197240 227750 246550 273300 295860 341625 369825 455500 493100 546600 591720 616375 683250 739650 911000 986200 1232750 1366500 1479300 1849125 2465500 2733000 2958600 3698250 4492141 4931000 7396500 8984282 13476423 14793000 17968564 22460705 26952846 35937128 44921410 53905692 67382115 89842820 107811384 112303525 134764230 179685640 224607050 269528460 336910575 449214100 539056920 561517625 673821150 898428200 1123035250 1347642300 1684552875 2246070500 2695284600 3369105750 4492141000 6738211500 13476423000