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3480672252684 = 22311317103180681
BaseRepresentation
bin110010101001101000001…
…110111011001100001100
3110022202020000220200202110
4302221220032323030030
5424011404044041214
611222555422024020
7506320205664054
oct62515016731414
913282200820673
103480672252684
111122165822590
124826b2118010
131c32c26488b3
14c0673228564
156081864c159
hex32a683bb30c

3480672252684 has 96 divisors (see below), whose sum is σ = 8896573066752. Its totient is φ = 1050389056000.

The previous prime is 3480672252679. The next prime is 3480672252691. The reversal of 3480672252684 is 4862522760843.

It is a super-2 number, since 2×34806722526842 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43100824 + ... + 43181504.

It is an arithmetic number, because the mean of its divisors is an integer number (92672636112).

Almost surely, 23480672252684 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 3480672252684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448286533376).

3480672252684 is an abundant number, since it is smaller than the sum of its proper divisors (5415900814068).

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

3480672252684 is a wasteful number, since it uses less digits than its factorization.

3480672252684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82047 (or 82045 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 3480672252684 in words is "three trillion, four hundred eighty billion, six hundred seventy-two million, two hundred fifty-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 1031 1268 1902 2062 3093 3487 3804 4124 6186 6974 10461 11341 12372 13948 20922 22682 34023 41844 45364 68046 80681 136092 161362 242043 322724 326827 484086 653654 887491 968172 980481 1307308 1774982 1960962 2662473 3549964 3595097 3921924 5324946 7190194 10649892 10785291 14380388 21570582 25575877 43141164 51151754 76727631 83182111 102303508 153455262 166364222 249546333 281334647 306910524 332728444 499092666 562669294 844003941 915003221 998185332 1125338588 1688007882 1830006442 2745009663 3376015764 3660012884 5490019326 10980038652 26368729187 52737458374 79106187561 105474916748 158212375122 290056021057 316424750244 580112042114 870168063171 1160224084228 1740336126342 3480672252684