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2660011787676 = 22317197131092
BaseRepresentation
bin100110101101010101000…
…011101100010110011100
3100102021221210110120212010
4212231111003230112130
5322040201004201201
65353554220111220
7363115400064135
oct46552503542634
910367853416763
102660011787676
11936117342721
1236b640695510
13163ab82181c9
1492a60db4c8c
15492d662abd6
hex26b550ec59c

2660011787676 has 144 divisors (see below), whose sum is σ = 7017366908160. Its totient is φ = 779205934080.

The previous prime is 2660011787651. The next prime is 2660011787677. The reversal of 2660011787676 is 6767871100662.

2660011787676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660011787677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855582810 + ... + 855585918.

It is an arithmetic number, because the mean of its divisors is an integer number (48731714640).

Almost surely, 22660011787676 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 2660011787676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508683454080).

2660011787676 is an abundant number, since it is smaller than the sum of its proper divisors (4357355120484).

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

2660011787676 is a wasteful number, since it uses less digits than its factorization.

2660011787676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 2660011787676 in words is "two trillion, six hundred sixty billion, eleven million, seven hundred eighty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 71 76 102 114 142 204 213 228 284 323 426 646 852 969 1207 1292 1349 1938 2414 2698 3109 3621 3876 4047 4828 5396 6218 7242 8094 9327 12436 14484 16188 18654 22933 37308 45866 52853 59071 68799 91732 105706 118142 137598 158559 177213 211412 220739 236284 275196 317118 354426 441478 634236 662217 708852 882956 1004207 1324434 2008414 2648868 3012621 3752563 4016828 4194041 6025242 7505126 8388082 9665881 11257689 12050484 12582123 15010252 16776164 19331762 22515378 25164246 28997643 38663524 45030756 50328492 57995286 71298697 115990572 142597394 164319977 183651739 213896091 285194788 328639954 367303478 427792182 492959931 550955217 657279908 686277551 734606956 855584364 985919862 1101910434 1372555102 1971839724 2058832653 2203820868 2745110204 3122079563 4117665306 6244159126 8235330612 9366238689 11666718367 12488318252 13039273469 18732477378 23333436734 26078546938 35000155101 37464954756 39117820407 46666873468 52157093876 70000310202 78235640814 140000620404 156471281628 221667648973 443335297946 665002946919 886670595892 1330005893838 2660011787676