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91721440668 = 2231113175330491
BaseRepresentation
bin101010101101100000…
…1100001110110011100
322202202020001221210010
41111123001201312130
53000321142100133
6110045232443220
76424641245004
oct1253301416634
9282666057703
1091721440668
11359983a8a30
12159393a9510
138859667920
1446217a5004
1525bc568263
hex155b061d9c

91721440668 has 96 divisors (see below), whose sum is σ = 251583881472. Its totient is φ = 25640870400.

The previous prime is 91721440631. The next prime is 91721440673. The reversal of 91721440668 is 86604412719.

It is a congruent number.

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, 2992903 + ... + 3023393.

It is an arithmetic number, because the mean of its divisors is an integer number (2620665432).

Almost surely, 291721440668 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 91721440668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125791940736).

91721440668 is an abundant number, since it is smaller than the sum of its proper divisors (159862440804).

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

91721440668 is a wasteful number, since it uses less digits than its factorization.

91721440668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32275 (or 32273 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 91721440668 in words is "ninety-one billion, seven hundred twenty-one million, four hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 1753 3506 5259 7012 10518 19283 21036 22789 30491 38566 45578 57849 60982 68367 77132 91156 91473 115698 121964 136734 182946 231396 250679 273468 335401 365892 396383 501358 670802 752037 792766 1002716 1006203 1189149 1341604 1504074 1585532 2012406 2378298 3008148 4024812 4360213 4756596 8720426 13080639 17440852 26161278 52322556 53450723 106901446 160352169 213802892 320704338 587957953 641408676 694859399 1175915906 1389718798 1763873859 2084578197 2351831812 2779437596 3527747718 4169156394 7055495436 7643453389 8338312788 15286906778 22930360167 30573813556 45860720334 91721440668