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11412200544 = 253971976221
BaseRepresentation
bin10101010000011100…
…00101110001100000
31002110100001212002020
422220032011301200
5141333010404134
65124231021440
7552543050463
oct125016056140
932410055066
1011412200544
1149269871a8
122265b0a880
1310cb44b2b4
147a392d2da
1546bd62b49
hex2a8385c60

11412200544 has 96 divisors (see below), whose sum is σ = 30424385376. Its totient is φ = 3745136640.

The previous prime is 11412200543. The next prime is 11412200581. The reversal of 11412200544 is 44500221411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412200543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831354 + ... + 1837574.

It is an arithmetic number, because the mean of its divisors is an integer number (316920681).

Almost surely, 211412200544 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 11412200544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212192688).

11412200544 is an abundant number, since it is smaller than the sum of its proper divisors (19012184832).

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

11412200544 is a wasteful number, since it uses less digits than its factorization.

11412200544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 11412200544 its reverse (44500221411), we get a palindrome (55912421955).

The spelling of 11412200544 in words is "eleven billion, four hundred twelve million, two hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 197 291 388 394 582 591 776 788 1164 1182 1552 1576 2328 2364 3104 3152 4656 4728 6221 6304 9312 9456 12442 18663 18912 19109 24884 37326 38218 49768 57327 74652 76436 99536 114654 149304 152872 199072 229308 298608 305744 458616 597216 603437 611488 917232 1206874 1225537 1810311 1834464 2413748 2451074 3620622 3676611 4827496 4902148 7241244 7353222 9654992 9804296 14482488 14706444 19309984 19608592 28964976 29412888 39217184 57929952 58825776 117651552 118877089 237754178 356631267 475508356 713262534 951016712 1426525068 1902033424 2853050136 3804066848 5706100272 11412200544