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11016340692 = 22371033533607
BaseRepresentation
bin10100100001010000…
…00000010011010100
31001102202012002110020
422100220000103110
5140030140400232
65021050225140
7536665231230
oct122050002324
931382162406
1011016340692
1147434898a5
1221754251b0
1310674292b6
147671255c0
1544721ae2c
hex290a004d4

11016340692 has 96 divisors (see below), whose sum is σ = 29754396672. Its totient is φ = 3107275776.

The previous prime is 11016340631. The next prime is 11016340711. The reversal of 11016340692 is 29604361011.

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, 3052353 + ... + 3055959.

It is an arithmetic number, because the mean of its divisors is an integer number (309941632).

Almost surely, 211016340692 is an apocalyptic number.

11016340692 is a gapful number since it is divisible by the number (12) 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 11016340692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877198336).

11016340692 is an abundant number, since it is smaller than the sum of its proper divisors (18738055980).

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

11016340692 is a wasteful number, since it uses less digits than its factorization.

11016340692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 11016340692 in words is "eleven billion, sixteen million, three hundred forty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 353 412 618 706 721 1059 1236 1412 1442 2118 2163 2471 2884 3607 4236 4326 4942 7214 7413 8652 9884 10821 14428 14826 21642 25249 29652 36359 43284 50498 72718 75747 100996 109077 145436 151494 218154 254513 302988 371521 436308 509026 743042 763539 1018052 1114563 1273271 1486084 1527078 2229126 2546542 2600647 3054156 3819813 4458252 5093084 5201294 7639626 7801941 8912897 10402588 15279252 15603882 17825794 26738691 31207764 35651588 53477382 106954764 131146913 262293826 393440739 524587652 786881478 918028391 1573762956 1836056782 2754085173 3672113564 5508170346 11016340692