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11006454202104 = 23323371094944019
BaseRepresentation
bin1010000000101010001111…
…0010101111111011111000
31102222012120201101010010210
42200022203302233323320
52420312204233431404
635224143435311120
72214122124042144
oct240124362577370
942865521333123
1011006454202104
1135638a1506539
12129915b2ab4a0
1361ab9a62b35a
142a0a02818224
15141483110689
hexa02a3cafef8

11006454202104 has 128 divisors (see below), whose sum is σ = 29759045184000. Its totient is φ = 3383132189184.

The previous prime is 11006454202097. The next prime is 11006454202123. The reversal of 11006454202104 is 40120245460011.

It is a super-2 number, since 2×110064542021042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245794 + ... + 4698225.

It is an arithmetic number, because the mean of its divisors is an integer number (232492540500).

Almost surely, 211006454202104 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 11006454202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879522592000).

11006454202104 is an abundant number, since it is smaller than the sum of its proper divisors (18752590981896).

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

11006454202104 is a wasteful number, since it uses less digits than its factorization.

11006454202104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944197 (or 4944193 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11006454202104 its reverse (40120245460011), we get a palindrome (51126699662115).

The spelling of 11006454202104 in words is "eleven trillion, six billion, four hundred fifty-four million, two hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 109 111 138 148 184 218 222 276 296 327 436 444 552 654 851 872 888 1308 1702 2507 2553 2616 3404 4033 5014 5106 6808 7521 8066 10028 10212 12099 15042 16132 20056 20424 24198 30084 32264 48396 60168 92759 96792 185518 278277 371036 556554 742072 1113108 2226216 4944019 9888038 14832057 19776076 29664114 39552152 59328228 113712437 118656456 182928703 227424874 341137311 365857406 454849748 538898071 548786109 682274622 731714812 909699496 1077796142 1097572218 1364549244 1463429624 1616694213 2155592284 2195144436 2729098488 3233388426 4207360169 4311184568 4390288872 6466776852 8414720338 12394655633 12622080507 12933553704 16829440676 19939228627 24789311266 25244161014 33658881352 37183966899 39878457254 49578622532 50488322028 59817685881 74367933798 79756914508 99157245064 100976644056 119635371762 148735867596 159513829016 239270743524 297471735192 458602258421 478541487048 917204516842 1375806775263 1834409033684 2751613550526 3668818067368 5503227101052 11006454202104