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1613120221641 = 329532232276911
BaseRepresentation
bin10111011110010101011…
…101010011000111001001
312201012202010021210112010
4113132111131103013021
5202412132234043031
63233020204410133
7224354423435055
oct27362535230711
95635663253463
101613120221641
11572136347175
12220772846949
13b916919b7b6
145810adccc65
152be63382246
hex177957531c9

1613120221641 has 64 divisors (see below), whose sum is σ = 2287502622720. Its totient is φ = 1009556970240.

The previous prime is 1613120221631. The next prime is 1613120221693. The reversal of 1613120221641 is 1461220213161.

It is not a de Polignac number, because 1613120221641 - 215 = 1613120188873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1613120221599 and 1613120221608.

It is not an unprimeable number, because it can be changed into a prime (1613120221631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233409976 + ... + 233416886.

It is an arithmetic number, because the mean of its divisors is an integer number (35742228480).

Almost surely, 21613120221641 is an apocalyptic number.

It is an amenable number.

1613120221641 is a deficient number, since it is larger than the sum of its proper divisors (674382401079).

1613120221641 is a wasteful number, since it uses less digits than its factorization.

1613120221641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1613120221641 in words is "one trillion, six hundred thirteen billion, one hundred twenty million, two hundred twenty-one thousand, six hundred forty-one".

Divisors: 1 3 29 53 87 159 223 227 669 681 1537 4611 6467 6583 6911 11819 12031 19401 19749 20733 35457 36093 50621 151863 200419 342751 348899 366283 601257 1028253 1046697 1098849 1468009 1541153 1568797 2682913 4404027 4623459 4706391 8048739 10622207 31866621 44693437 45495113 77804477 81681109 83146241 134080311 136485339 233413431 245043327 249438723 349841731 1049525193 2368752161 2411240989 7106256483 7233722967 10145410199 18541611743 30436230597 55624835229 537706740547 1613120221641