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10345745000 = 23542389963
BaseRepresentation
bin10011010001010011…
…11000101001101000
3222201000100022002202
421220221320221220
5132142002320000
64430333115332
7514243244603
oct115051705150
928630308082
1010345745000
1144299a3388
122008928b48
13c8b513a06
1470204333a
15408405dd5
hex268a78a68

10345745000 has 80 divisors (see below), whose sum is σ = 25294278240. Its totient is φ = 3958328000.

The previous prime is 10345744999. The next prime is 10345745057. The reversal of 10345745000 is 54754301.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70019 + ... + 159981.

It is an arithmetic number, because the mean of its divisors is an integer number (316178478).

Almost surely, 210345745000 is an apocalyptic number.

10345745000 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 10345745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647139120).

10345745000 is an abundant number, since it is smaller than the sum of its proper divisors (14948533240).

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

10345745000 is an equidigital number, since it uses as much as digits as its factorization.

10345745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90012 (or 89993 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The spelling of 10345745000 in words is "ten billion, three hundred forty-five million, seven hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 625 920 1000 1150 1250 2300 2500 2875 4600 5000 5750 11500 14375 23000 28750 57500 89963 115000 179926 359852 449815 719704 899630 1799260 2069149 2249075 3598520 4138298 4498150 8276596 8996300 10345745 11245375 16553192 17992600 20691490 22490750 41382980 44981500 51728725 56226875 82765960 89963000 103457450 112453750 206914900 224907500 258643625 413829800 449815000 517287250 1034574500 1293218125 2069149000 2586436250 5172872500 10345745000