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4214780500 = 2253710111923
BaseRepresentation
bin1111101100111000…
…0111001001010100
3101212201212000220111
43323032013021110
532112440434000
61534121212404
7206306020540
oct37316071124
911781760814
104214780500
111873151a77
12997631104
13522282478
142bdaa2a20
1519a04dcba
hexfb387254

4214780500 has 96 divisors (see below), whose sum is σ = 10625142528. Its totient is φ = 1430640000.

The previous prime is 4214780483. The next prime is 4214780509. The reversal of 4214780500 is 50874124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214780509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 347539 + ... + 359461.

It is an arithmetic number, because the mean of its divisors is an integer number (110678568).

Almost surely, 24214780500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214780500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312571264).

4214780500 is an abundant number, since it is smaller than the sum of its proper divisors (6410362028).

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

4214780500 is a wasteful number, since it uses less digits than its factorization.

4214780500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12050 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 4214780500 is about 64921.3408672372. The cubic root of 4214780500 is about 1615.3190716182.

The spelling of 4214780500 in words is "four billion, two hundred fourteen million, seven hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 125 140 175 202 250 350 404 500 505 700 707 875 1010 1414 1750 2020 2525 2828 3500 3535 5050 7070 10100 11923 12625 14140 17675 23846 25250 35350 47692 50500 59615 70700 83461 88375 119230 166922 176750 238460 298075 333844 353500 417305 596150 834610 1192300 1204223 1490375 1669220 2086525 2408446 2980750 4173050 4816892 5961500 6021115 8346100 8429561 10432625 12042230 16859122 20865250 24084460 30105575 33718244 41730500 42147805 60211150 84295610 120422300 150527875 168591220 210739025 301055750 421478050 602111500 842956100 1053695125 2107390250 4214780500