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3340271216656 = 2411591801178609
BaseRepresentation
bin110000100110110111101…
…011011110100000010000
3102211022211020121002000001
4300212313223132200100
5414211333412413111
611034255512335344
7463220014606363
oct60466753364020
912738736532001
103340271216656
111078668026110
1245b44a0a4554
131b2ca897189a
14b79546460da
155bd4c6101c1
hex309b7ade810

3340271216656 has 80 divisors (see below), whose sum is σ = 7183808510400. Its totient is φ = 1491734016000.

The previous prime is 3340271216651. The next prime is 3340271216657. The reversal of 3340271216656 is 6566121720433.

It is a happy number.

It is a super-2 number, since 2×33402712166562 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340271216651) 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, 18612280 + ... + 18790888.

It is an arithmetic number, because the mean of its divisors is an integer number (89797606380).

Almost surely, 23340271216656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340271216656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591904255200).

3340271216656 is an abundant number, since it is smaller than the sum of its proper divisors (3843537293744).

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

3340271216656 is a wasteful number, since it uses less digits than its factorization.

3340271216656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180488 (or 180482 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 3340271216656 in words is "three trillion, three hundred forty billion, two hundred seventy-one million, two hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 944 1298 1801 2596 3602 5192 7204 10384 14408 19811 28816 39622 79244 106259 158488 178609 212518 316976 357218 425036 714436 850072 1168849 1428872 1700144 1964699 2337698 2857744 3929398 4675396 7858796 9350792 10537931 15717592 18701584 21075862 31435184 42151724 84303448 115917241 168606896 231834482 321674809 463668964 643349618 927337928 1286699236 1854675856 2573398472 3538422899 5146796944 7076845798 14153691596 18978813731 28307383192 37957627462 56614766384 75915254924 151830509848 208766951041 303661019696 417533902082 835067804164 1670135608328 3340271216656