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11417451984 = 243361433267
BaseRepresentation
bin10101010001000100…
…00111110111010000
31002110200221122201000
422220202013313100
5141340331430414
65124535342000
7552635512011
oct125042076720
932420848630
1011417451984
114929943734
122267821900
1310cc569663
147a44d9008
1546c54db09
hex2a8887dd0

11417451984 has 80 divisors (see below), whose sum is σ = 33309643840. Its totient is φ = 3743418240.

The previous prime is 11417451967. The next prime is 11417452003. The reversal of 11417451984 is 48915471411.

11417451984 is a `hidden beast` number, since 1 + 1 + 417 + 45 + 198 + 4 = 666.

It is a super-3 number, since 3×114174519843 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190282 + ... + 242985.

It is an arithmetic number, because the mean of its divisors is an integer number (416370548).

Almost surely, 211417451984 is an apocalyptic number.

It is an amenable number.

11417451984 is an abundant number, since it is smaller than the sum of its proper divisors (21892191856).

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

11417451984 is a wasteful number, since it uses less digits than its factorization.

11417451984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433345 (or 433333 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 11417451984 in words is "eleven billion, four hundred seventeen million, four hundred fifty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 6588 8784 13176 26352 433267 866534 1299801 1733068 2599602 3466136 3899403 5199204 6932272 7798806 10398408 11698209 15597612 20796816 23396418 26429287 31195224 46792836 52858574 62390448 79287861 93585672 105717148 158575722 187171344 211434296 237863583 317151444 422868592 475727166 634302888 713590749 951454332 1268605776 1427181498 1902908664 2854362996 3805817328 5708725992 11417451984