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11018146699504 = 2475397179106903
BaseRepresentation
bin1010000001010101110010…
…1110000101100011110000
31110000022202120212112020001
42200111130232011203300
52421010131023341004
635233400002155344
72215014642450640
oct240253456054360
943008676775201
1011018146699504
11356885162992a
12129b483052b54
1361c011b69179
142a13d166c520
1514191988e1a4
hexa055cb858f0

11018146699504 has 160 divisors (see below), whose sum is σ = 25254453611520. Its totient is φ = 4559546474496.

The previous prime is 11018146699471. The next prime is 11018146699517. The reversal of 11018146699504 is 40599664181011.

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 31 ways as a sum of consecutive naturals, for example, 103013317 + ... + 103120219.

It is an arithmetic number, because the mean of its divisors is an integer number (157840335072).

Almost surely, 211018146699504 is an apocalyptic number.

11018146699504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11018146699504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627226805760).

11018146699504 is an abundant number, since it is smaller than the sum of its proper divisors (14236306912016).

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

11018146699504 is a wasteful number, since it uses less digits than its factorization.

11018146699504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107247 (or 107241 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 55.

The spelling of 11018146699504 in words is "eleven trillion, eighteen billion, one hundred forty-six million, six hundred ninety-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 53 56 97 106 112 179 194 212 358 371 388 424 679 716 742 776 848 1253 1358 1432 1484 1552 2506 2716 2864 2968 5012 5141 5432 5936 9487 10024 10282 10864 17363 18974 20048 20564 34726 35987 37948 41128 66409 69452 71974 75896 82256 106903 121541 132818 138904 143948 151792 213806 243082 265636 277808 287896 427612 486164 531272 575792 748321 855224 920239 972328 1062544 1496642 1710448 1840478 1944656 2993284 3680956 5665859 5986568 6441673 7361912 10369591 11331718 11973136 12883346 14723824 19135637 20739182 22663436 25766692 38271274 39661013 41478364 45326872 51533384 72587137 76542548 79322026 82956728 90653744 103066768 133949459 145174274 153085096 158644052 165913456 267898918 290348548 306170192 317288104 535797836 549588323 580697096 634576208 1014188761 1071595672 1099176646 1161394192 1856156789 2028377522 2143191344 2198353292 3712313578 3847118261 4056755044 4396706584 7099321327 7424627156 7694236522 8113510088 8793413168 12993097523 14198642654 14849254312 15388473044 16227020176 25986195046 28397285308 29698508624 30776946088 51972390092 56794570616 61553892176 98376309817 103944780184 113589141232 196752619634 207889560368 393505239268 688634168719 787010478536 1377268337438 1574020957072 2754536674876 5509073349752 11018146699504