Search a number
-
+
2646602000016 = 243132696746829
BaseRepresentation
bin100110100000110101110…
…001011010011010010000
3100101000100020120210101220
4212200311301122122100
5321330220103000031
65343455425525040
7362132156551242
oct46406561323220
910330306523356
102646602000016
11930465917787
12368b197a3780
1316275bc88c00
149214c058092
1548c9e230596
hex26835c5a690

2646602000016 has 120 divisors (see below), whose sum is σ = 7404659196480. Its totient is φ = 814204804608.

The previous prime is 2646601999969. The next prime is 2646602000023. The reversal of 2646602000016 is 6100002066462.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56492890 + ... + 56539718.

It is an arithmetic number, because the mean of its divisors is an integer number (61705493304).

Almost surely, 22646602000016 is an apocalyptic number.

2646602000016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2646602000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702329598240).

2646602000016 is an abundant number, since it is smaller than the sum of its proper divisors (4758057196464).

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

2646602000016 is a wasteful number, since it uses less digits than its factorization.

2646602000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53833 (or 53814 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 2646602000016 its reverse (6100002066462), we get a palindrome (8746604066478).

The spelling of 2646602000016 in words is "two trillion, six hundred forty-six billion, six hundred two million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 6967 8112 13934 20901 27868 41802 46829 55736 83604 90571 93658 111472 140487 167208 181142 187316 271713 280974 334416 362284 374632 543426 561948 608777 724568 749264 1086852 1123896 1177423 1217554 1449136 1826331 2173704 2247792 2354846 2435108 3532269 3652662 4347408 4709692 4870216 7064538 7305324 7914101 9419384 9740432 14129076 14610648 15828202 18838768 23742303 28258152 29221296 31656404 47484606 56516304 63312808 94969212 126625616 189938424 326257643 379876848 652515286 978772929 1305030572 1957545858 2610061144 3915091716 4241349359 5220122288 7830183432 8482698718 12724048077 15660366864 16965397436 25448096154 33930794872 50896192308 55137541667 67861589744 101792384616 110275083334 165412625001 203584769232 220550166668 330825250002 441100333336 661650500004 882200666672 1323301000008 2646602000016