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11944802106 = 23317233491621
BaseRepresentation
bin10110001111111011…
…10011011100111010
31010211110020211002000
423013331303130322
5143430332131411
65253134321430
7602001066636
oct130775633472
933743224060
1011944802106
11507a590686
122394359276
1311848a9553
1481456ddc6
1549d9ba956
hex2c7f7373a

11944802106 has 128 divisors (see below), whose sum is σ = 29429568000. Its totient is φ = 3571983360.

The previous prime is 11944802101. The next prime is 11944802119. The reversal of 11944802106 is 60120844911.

It is not an unprimeable number, because it can be changed into a prime (11944802101) 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, 7367976 + ... + 7369596.

It is an arithmetic number, because the mean of its divisors is an integer number (229918500).

Almost surely, 211944802106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11944802106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714784000).

11944802106 is an abundant number, since it is smaller than the sum of its proper divisors (17484765894).

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

11944802106 is a wasteful number, since it uses less digits than its factorization.

11944802106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11944802106 in words is "eleven billion, nine hundred forty-four million, eight hundred two thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 349 391 414 459 621 698 782 918 1047 1173 1242 1621 2094 2346 3141 3242 3519 4863 5933 6282 7038 8027 9423 9726 10557 11866 14589 16054 17799 18846 21114 24081 27557 29178 35598 37283 43767 48162 53397 55114 72243 74566 82671 87534 106794 111849 136459 144486 160191 165342 216729 223698 248013 272918 320382 335547 409377 433458 496026 565729 633811 671094 744039 818754 1006641 1131458 1228131 1267622 1488078 1697187 1901433 2013282 2456262 3394374 3684393 3802866 5091561 5704299 7368786 9617393 10183122 11408598 13011767 15274683 17112897 19234786 26023534 28852179 30549366 34225794 39035301 57704358 78070602 86556537 117105903 173113074 221200039 234211806 259669611 351317709 442400078 519339222 663600117 702635418 1327200234 1990800351 3981600702 5972401053 11944802106