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11669138154 = 2341953233307
BaseRepresentation
bin10101101111000100…
…01110101011101010
31010010020112122020000
422313202032223222
5142344244410104
65205530043430
7562113015642
oct126742165352
933106478200
1011669138154
114a48a19233
122317b79576
13113c74c69b
147c9ad3522
154846b7639
hex2b788eaea

11669138154 has 160 divisors (see below), whose sum is σ = 28255106880. Its totient is φ = 3588219648.

The previous prime is 11669138137. The next prime is 11669138161. The reversal of 11669138154 is 45183196611.

It is a Curzon 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 79 ways as a sum of consecutive naturals, for example, 38010069 + ... + 38010375.

It is an arithmetic number, because the mean of its divisors is an integer number (176594418).

Almost surely, 211669138154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11669138154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127553440).

11669138154 is an abundant number, since it is smaller than the sum of its proper divisors (16585968726).

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

11669138154 is a wasteful number, since it uses less digits than its factorization.

11669138154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 11669138154 in words is "eleven billion, six hundred sixty-nine million, one hundred thirty-eight thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 159 162 171 233 307 318 342 466 477 513 614 699 921 954 1007 1026 1398 1431 1539 1842 2014 2097 2763 2862 3021 3078 4194 4293 4427 5526 5833 6042 6291 8289 8586 8854 9063 11666 12349 12582 13281 16271 16578 17499 18126 18873 24698 24867 26562 27189 32542 34998 37047 37746 39843 48813 49734 52497 54378 71531 74094 79686 81567 97626 104994 111141 119529 143062 146439 157491 163134 214593 222282 234631 239058 292878 309149 314982 333423 358587 429186 439317 469262 472473 618298 643779 666846 703893 717174 878634 927447 944946 1000269 1287558 1317951 1359089 1407786 1854894 1931337 2000538 2111679 2635902 2718178 2782341 3791143 3862674 4077267 4223358 5564682 5794011 6335037 7582286 8154534 8347023 11373429 11588022 12231801 12670074 16694046 19005111 22746858 24463602 25041069 34120287 36695403 38010222 50082138 68240574 72031717 73390806 102360861 110086209 144063434 204721722 216095151 220172418 307082583 432190302 614165166 648285453 1296570906 1944856359 3889712718 5834569077 11669138154