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10424000000 = 29561303
BaseRepresentation
bin10011011010101000…
…11001111000000000
3222220110121001210002
421231110121320000
5132322021000000
64442210255132
7516213352361
oct115524317000
928813531702
1010424000000
11446a092537
12202ab874a8
13ca17b2a4b
1470c5b3b68
154102128d5
hex26d519e00

10424000000 has 140 divisors (see below), whose sum is σ = 26054197752. Its totient is φ = 4166400000.

The previous prime is 10423999997. The next prime is 10424000011. The reversal of 10424000000 is 42401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999349 + ... + 8000651.

Almost surely, 210424000000 is an apocalyptic number.

10424000000 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 10424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027098876).

10424000000 is an abundant number, since it is smaller than the sum of its proper divisors (15630197752).

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

10424000000 is an frugal number, since it uses more digits than its factorization.

10424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 10424000000 its reverse (42401), we get a palindrome (10424042401).

The spelling of 10424000000 in words is "ten billion, four hundred twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1303 1600 2000 2500 2560 2606 3125 3200 4000 5000 5212 6250 6400 6515 8000 10000 10424 12500 12800 13030 15625 16000 20000 20848 25000 26060 31250 32000 32575 40000 41696 50000 52120 62500 64000 65150 80000 83392 100000 104240 125000 130300 160000 162875 166784 200000 208480 250000 260600 320000 325750 333568 400000 416960 500000 521200 651500 667136 800000 814375 833920 1000000 1042400 1303000 1600000 1628750 1667840 2000000 2084800 2606000 3257500 3335680 4000000 4071875 4169600 5212000 6515000 8000000 8143750 8339200 10424000 13030000 16287500 16678400 20359375 20848000 26060000 32575000 40718750 41696000 52120000 65150000 81437500 83392000 104240000 130300000 162875000 208480000 260600000 325750000 416960000 521200000 651500000 1042400000 1303000000 2084800000 2606000000 5212000000 10424000000