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34125505520 = 2453711528887
BaseRepresentation
bin11111110010000010…
…011110001111110000
310021002021011022000212
4133302002132033300
51024342112134040
623402124003252
72315443003511
oct376202361760
9107067138025
1034125505520
1113521a5a427
126744690528
1332aacba622
14191a30ca08
15d4ade0d65
hex7f209e3f0

34125505520 has 40 divisors (see below), whose sum is σ = 81486180384. Its totient is φ = 13281276672.

The previous prime is 34125505511. The next prime is 34125505549. The reversal of 34125505520 is 2550552143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5761484 + ... + 5767403.

Almost surely, 234125505520 is an apocalyptic number.

It is an amenable number.

34125505520 is an abundant number, since it is smaller than the sum of its proper divisors (47360674864).

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

34125505520 is a wasteful number, since it uses less digits than its factorization.

34125505520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528937 (or 11528931 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 34125505520 in words is "thirty-four billion, one hundred twenty-five million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 11528887 23057774 46115548 57644435 92231096 115288870 184462192 230577740 426568819 461155480 853137638 922310960 1706275276 2132844095 3412550552 4265688190 6825101104 8531376380 17062752760 34125505520