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1205342745450 = 235226939297603
BaseRepresentation
bin10001100010100100000…
…001101011001101101010
311021020012102000200220120
4101202210001223031222
5124222020220323300
62321420554104110
7153040342201254
oct21424401531552
94236172020816
101205342745450
114252016138a8
1217572aa1b036
138988145c74c
14424a5d28cd4
1521548c963a0
hex118a406b36a

1205342745450 has 96 divisors (see below), whose sum is σ = 3001520836800. Its totient is φ = 320106232320.

The previous prime is 1205342745421. The next prime is 1205342745527. The reversal of 1205342745450 is 545472435021.

It is a happy number.

It is a super-2 number, since 2×12053427454502 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158531349 + ... + 158538951.

It is an arithmetic number, because the mean of its divisors is an integer number (31265842050).

Almost surely, 21205342745450 is an apocalyptic number.

1205342745450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205342745450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500760418400).

1205342745450 is an abundant number, since it is smaller than the sum of its proper divisors (1796178091350).

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

1205342745450 is a wasteful number, since it uses less digits than its factorization.

1205342745450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 1205342745450 in words is "one trillion, two hundred five billion, three hundred forty-two million, seven hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 269 538 807 1345 1614 2690 3929 4035 6725 7603 7858 8070 11787 13450 15206 19645 20175 22809 23574 38015 39290 40350 45618 58935 76030 98225 114045 117870 190075 196450 228090 294675 380150 570225 589350 1056901 1140450 2045207 2113802 3170703 4090414 5284505 6135621 6341406 10226035 10569010 12271242 15853515 20452070 26422525 29872187 30678105 31707030 51130175 52845050 59744374 61356210 79267575 89616561 102260350 149360935 153390525 158535150 179233122 298721870 306781050 448082805 746804675 896165610 1493609350 2240414025 4480828050 8035618303 16071236606 24106854909 40178091515 48213709818 80356183030 120534274545 200890457575 241068549090 401780915150 602671372725 1205342745450