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34545442500 = 2232541535353
BaseRepresentation
bin100000001011000100…
…011001111011000100
310022011112100022021100
4200023010121323010
51031222113130000
623511524420100
72332032262542
oct401304317304
9108145308240
1034545442500
1113718002288
126841247630
133346cbc74a
141959dc2d92
15d72be1a00
hex80b119ec4

34545442500 has 90 divisors (see below), whose sum is σ = 109119144134. Its totient is φ = 9212112000.

The previous prime is 34545442499. The next prime is 34545442511. The reversal of 34545442500 is 524454543.

It can be written as a sum of positive squares in 5 ways, for example, as 3884031684 + 30661410816 = 62322^2 + 175104^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 745177 + ... + 790176.

Almost surely, 234545442500 is an apocalyptic number.

34545442500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34545442500 is an abundant number, since it is smaller than the sum of its proper divisors (74573701634).

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

34545442500 is a wasteful number, since it uses less digits than its factorization.

34545442500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535383 (or 1535363 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 34545442500 in words is "thirty-four billion, five hundred forty-five million, four hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 1535353 3070706 4606059 6141412 7676765 9212118 13818177 15353530 18424236 23030295 27636354 30707060 38383825 46060590 55272708 69090885 76767650 92121180 115151475 138181770 153535300 191919125 230302950 276363540 345454425 383838250 460605900 575757375 690908850 767676500 959595625 1151514750 1381817700 1727272125 1919191250 2303029500 2878786875 3454544250 3838382500 5757573750 6909088500 8636360625 11515147500 17272721250 34545442500