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11644545066 = 23711314717299
BaseRepresentation
bin10101101100001000…
…11010100000101010
31010001112021011211220
422312010122200222
5142322000420231
65203251002510
7561363666660
oct126604324052
933045234756
1011644545066
114a36051070
12230b899436
13113761b76b
147c6730c30
1548245a896
hex2b611a82a

11644545066 has 128 divisors (see below), whose sum is σ = 30611865600. Its totient is φ = 2864548800.

The previous prime is 11644545061. The next prime is 11644545091. The reversal of 11644545066 is 66054544611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11644545061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664485 + ... + 681783.

It is an arithmetic number, because the mean of its divisors is an integer number (239155200).

Almost surely, 211644545066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11644545066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305932800).

11644545066 is an abundant number, since it is smaller than the sum of its proper divisors (18967320534).

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

11644545066 is a wasteful number, since it uses less digits than its factorization.

11644545066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17400.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 11644545066 in words is "eleven billion, six hundred forty-four million, five hundred forty-five thousand, sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 47 62 66 77 93 94 141 154 186 217 231 282 329 341 434 462 517 651 658 682 987 1023 1034 1302 1457 1551 1974 2046 2387 2914 3102 3619 4371 4774 7161 7238 8742 10199 10857 14322 16027 17299 20398 21714 30597 32054 34598 48081 51897 61194 96162 103794 112189 121093 190289 224378 242186 336567 363279 380578 536269 570867 673134 726558 813053 1072538 1141734 1332023 1608807 1626106 2439159 2664046 3217614 3753883 3996069 4878318 5691371 5898959 7507766 7992138 8943583 11261649 11382742 11797918 17074113 17696877 17887166 22523298 25204643 26830749 34148226 35393754 41292713 50409286 53661498 62605081 75613929 82585426 123878139 125210162 151227858 176432501 187815243 247756278 277251073 352865002 375630486 529297503 554502146 831753219 1058595006 1663506438 1940757511 3881515022 5822272533 11644545066