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17830000000 = 27571783
BaseRepresentation
bin10000100110110000…
…000011010110000000
31201000121021211212101
4100212300003112000
5243003440000000
612105130440144
71200562333201
oct204660032600
951017254771
1017830000000
11761a62a99a
123557293054
1318b1c4b277
14c120175a8
156e54c7e6a
hex426c03580

17830000000 has 128 divisors (see below), whose sum is σ = 44425667520. Its totient is φ = 7128000000.

The previous prime is 17829999997. The next prime is 17830000057. The reversal of 17830000000 is 3871.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999109 + ... + 10000891.

Almost surely, 217830000000 is an apocalyptic number.

17830000000 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 17830000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22212833760).

17830000000 is an abundant number, since it is smaller than the sum of its proper divisors (26595667520).

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

17830000000 is an frugal number, since it uses more digits than its factorization.

17830000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 17830000000 its reverse (3871), we get a palindrome (17830003871).

The spelling of 17830000000 in words is "seventeen billion, eight hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 1783 2000 2500 3125 3200 3566 4000 5000 6250 7132 8000 8915 10000 12500 14264 15625 16000 17830 20000 25000 28528 31250 35660 40000 44575 50000 57056 62500 71320 78125 80000 89150 100000 114112 125000 142640 156250 178300 200000 222875 228224 250000 285280 312500 356600 400000 445750 500000 570560 625000 713200 891500 1000000 1114375 1141120 1250000 1426400 1783000 2000000 2228750 2500000 2852800 3566000 4457500 5000000 5571875 5705600 7132000 8915000 10000000 11143750 14264000 17830000 22287500 27859375 28528000 35660000 44575000 55718750 71320000 89150000 111437500 139296875 142640000 178300000 222875000 278593750 356600000 445750000 557187500 713200000 891500000 1114375000 1783000000 2228750000 3566000000 4457500000 8915000000 17830000000