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3341676008541 = 3131716333193419
BaseRepresentation
bin110000101000001011011…
…010010101010001011101
3102211110110010221220012010
4300220023122111101131
5414222223024233131
611035051134101433
7463266563260503
oct60501332252135
912743403856163
103341676008541
111079218a98042
1245b78064a879
131b3170a0a4a0
14b7a49044673
155bdd0aeeb46
hex30a0b69545d

3341676008541 has 64 divisors (see below), whose sum is σ = 5127224417280. Its totient is φ = 1917744491520.

The previous prime is 3341676008533. The next prime is 3341676008599. The reversal of 3341676008541 is 1458006761433.

It is a happy number.

It is not a de Polignac number, because 3341676008541 - 23 = 3341676008533 is a prime.

It is a super-3 number, since 3×33416760085413 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3341676048541) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 35724130 + ... + 35817548.

It is an arithmetic number, because the mean of its divisors is an integer number (80112881520).

Almost surely, 23341676008541 is an apocalyptic number.

It is an amenable number.

3341676008541 is a deficient number, since it is larger than the sum of its proper divisors (1785548408739).

3341676008541 is a wasteful number, since it uses less digits than its factorization.

3341676008541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93946.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 3341676008541 in words is "three trillion, three hundred forty-one billion, six hundred seventy-six million, eight thousand, five hundred forty-one".

Divisors: 1 3 13 17 39 51 163 221 331 489 663 993 2119 2771 4303 5627 6357 8313 12909 16881 36023 53953 73151 93419 108069 161859 219453 280257 701389 917201 1214447 1588123 2104167 2751603 3643341 4764369 11923613 15227297 20645599 30921689 35770839 45681891 61936797 92765067 197954861 258864049 401981957 525668713 593864583 776592147 1205945871 1577006139 3365232637 5040235307 6833693269 10095697911 15120705921 20501079807 65523058991 85684000219 196569176973 257052000657 1113892002847 3341676008541