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335348901349 = 71116326718899
BaseRepresentation
bin1001110000101000101…
…10100010010111100101
31012001121001010021100121
410320110112202113211
520443243304320344
6414020202441541
733141154425640
oct4702426422745
91161531107317
10335348901349
1111a247792060
1254bab8032b1
1325814412697
1412333b10a57
158acabac684
hex4e145a25e5

335348901349 has 16 divisors (see below), whose sum is σ = 420662361600. Its totient is φ = 259707688560.

The previous prime is 335348901311. The next prime is 335348901367. The reversal of 335348901349 is 943109843533.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 335348901349 - 233 = 326758966757 is a prime.

It is a super-2 number, since 2×3353489013492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 335348901296 and 335348901305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335348901389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13346899 + ... + 13372000.

It is an arithmetic number, because the mean of its divisors is an integer number (26291397600).

Almost surely, 2335348901349 is an apocalyptic number.

It is an amenable number.

335348901349 is a deficient number, since it is larger than the sum of its proper divisors (85313460251).

335348901349 is a wasteful number, since it uses less digits than its factorization.

335348901349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26719080.

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 335348901349 in words is "three hundred thirty-five billion, three hundred forty-eight million, nine hundred one thousand, three hundred forty-nine".

Divisors: 1 7 11 77 163 1141 1793 12551 26718899 187032293 293907889 2057355223 4355180537 30486263759 47906985907 335348901349