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13661101404 = 22324752115497
BaseRepresentation
bin11001011100100001…
…11101110101011100
31022021001202212002200
430232100331311130
5210434220221104
610135324451500
7662351305656
oct145620756534
938231685080
1013661101404
115880376755
1227930a9b90
131399341972
149384996d6
1554e4ddb39
hex32e43dd5c

13661101404 has 72 divisors (see below), whose sum is σ = 35336927808. Its totient is φ = 4447971840.

The previous prime is 13661101397. The next prime is 13661101423. The reversal of 13661101404 is 40410116631.

13661101404 is a `hidden beast` number, since 1 + 3 + 6 + 611 + 0 + 1 + 40 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873784 + ... + 889280.

It is an arithmetic number, because the mean of its divisors is an integer number (490790664).

Almost surely, 213661101404 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 13661101404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17668463904).

13661101404 is an abundant number, since it is smaller than the sum of its proper divisors (21675826404).

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

13661101404 is a wasteful number, since it uses less digits than its factorization.

13661101404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16075 (or 16070 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13661101404 in words is "thirteen billion, six hundred sixty-one million, one hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 521 564 846 1042 1563 1692 2084 3126 4689 6252 9378 15497 18756 24487 30994 46491 48974 61988 73461 92982 97948 139473 146922 185964 220383 278946 293844 440766 557892 728359 881532 1456718 2185077 2913436 4370154 6555231 8073937 8740308 13110462 16147874 24221811 26220924 32295748 48443622 72665433 96887244 145330866 290661732 379475039 758950078 1138425117 1517900156 2276850234 3415275351 4553700468 6830550702 13661101404