Search a number
-
+
999900000006666 = 23111011098783156683
BaseRepresentation
bin1110001101011001110101110…
…0010011111011001000001010
311212010100111200012112021202020
43203112131130103323020022
52022024330200000203131
613502335415120345310
7420420251062252443
oct34326353423731012
94763314605467666
10999900000006666
1126a665232734550
129418b39aa75236
1333bc121c54ac95
14138cb5bd8582ca
157a8ea610b3996
hex38d675c4fb20a

999900000006666 has 128 divisors (see below), whose sum is σ = 2223680185774080. Its totient is φ = 297211965984000.

The previous prime is 999900000006631. The next prime is 999900000006673. The reversal of 999900000006666 is 666600000009999.

999900000006666 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6381596761 + ... + 6381753443.

It is an arithmetic number, because the mean of its divisors is an integer number (17372501451360).

Almost surely, 2999900000006666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999900000006666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111840092887040).

999900000006666 is an abundant number, since it is smaller than the sum of its proper divisors (1223780185767414).

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

999900000006666 is a wasteful number, since it uses less digits than its factorization.

999900000006666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165692.

The product of its (nonzero) digits is 8503056, while the sum is 60.

The spelling of 999900000006666 in words is "nine hundred ninety-nine trillion, nine hundred billion, six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 101 109 202 218 303 327 606 654 1111 1199 2222 2398 3333 3597 6666 7194 8783 11009 17566 22018 26349 33027 52698 66054 96613 121099 156683 193226 242198 289839 313366 363297 470049 579678 726594 887083 940098 957347 1723513 1774166 1914694 2661249 2872041 3447026 5170539 5322498 5744082 9757913 10341078 10530817 15824983 17078447 19515826 21061634 29273739 31592451 31649966 34156894 47474949 51235341 58547478 63184902 94949898 96692047 102470682 174074813 187862917 193384094 290076141 348149626 375725834 522224439 563588751 580152282 1044448878 1063612517 1127177502 1376146789 1724923147 2127225034 2752293578 3190837551 3449846294 4128440367 5174769441 6381675102 8256880734 10349538882 15137614679 18974154617 30275229358 37948309234 45412844037 56922463851 90825688074 113844927702 138990825689 150000000001 277981651378 300000000002 416972477067 450000000003 833944954134 900000000006 1528899082579 1650000000011 3057798165158 3300000000022 4586697247737 4950000000033 9173394495474 9900000000066 15150000000101 30300000000202 45450000000303 90900000000606 166650000001111 333300000002222 499950000003333 999900000006666