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10411011144 = 2332597693187
BaseRepresentation
bin10011011001000101…
…10110110001001000
3222212120011011102100
421230202312301020
5132310204324034
64441024033400
7515665064112
oct115442666110
928776134370
1010411011144
114462820846
122026762860
13c9bbb5931
1470a9923b2
1540dee9099
hex26c8b6c48

10411011144 has 96 divisors (see below), whose sum is σ = 28720692000. Its totient is φ = 3406012416.

The previous prime is 10411011119. The next prime is 10411011151. The reversal of 10411011144 is 44111011401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3265119 + ... + 3268305.

It is an arithmetic number, because the mean of its divisors is an integer number (299173875).

Almost surely, 210411011144 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 10411011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360346000).

10411011144 is an abundant number, since it is smaller than the sum of its proper divisors (18309680856).

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

10411011144 is a wasteful number, since it uses less digits than its factorization.

10411011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10411011144 its reverse (44111011401), we get a palindrome (54522022545).

The spelling of 10411011144 in words is "ten billion, four hundred eleven million, eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 769 1062 1416 1538 2124 2307 3076 3187 4248 4614 6152 6374 6921 9228 9561 12748 13842 18456 19122 25496 27684 28683 38244 45371 55368 57366 76488 90742 114732 136113 181484 188033 229464 272226 362968 376066 408339 544452 564099 752132 816678 1088904 1128198 1504264 1633356 1692297 2256396 2450803 3266712 3384594 4512792 4901606 6769188 7352409 9803212 13538376 14704818 19606424 22057227 29409636 44114454 58819272 88228908 144597377 176457816 289194754 433792131 578389508 867584262 1156779016 1301376393 1735168524 2602752786 3470337048 5205505572 10411011144