Search a number
-
+
10669992085632 = 2731110923174677
BaseRepresentation
bin1001101101000100110100…
…0101101000100010000000
31101210001010002112122201110
42123101031011220202000
52344304120433220012
634405420544403320
72150611231200105
oct233211505504200
941701102478643
1010669992085632
113444133403490
121243aba916540
135c52396bbbc9
1428c604d28aac
1513783e85b73c
hex9b44d168880

10669992085632 has 128 divisors (see below), whose sum is σ = 31202386459200. Its totient is φ = 3203667210240.

The previous prime is 10669992085609. The next prime is 10669992085651. The reversal of 10669992085632 is 23658029996601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106699920856322 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11126923 + ... + 12047754.

Almost surely, 210669992085632 is an apocalyptic number.

10669992085632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10669992085632 is an abundant number, since it is smaller than the sum of its proper divisors (20532394373568).

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

10669992085632 is a wasteful number, since it uses less digits than its factorization.

10669992085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23174814 (or 23174802 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 10669992085632 in words is "ten trillion, six hundred sixty-nine billion, nine hundred ninety-two million, eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 128 132 176 192 218 264 327 352 384 436 528 654 704 872 1056 1199 1308 1408 1744 2112 2398 2616 3488 3597 4224 4796 5232 6976 7194 9592 10464 13952 14388 19184 20928 28776 38368 41856 57552 76736 115104 153472 230208 460416 23174677 46349354 69524031 92698708 139048062 185397416 254921447 278096124 370794832 509842894 556192248 741589664 764764341 1019685788 1112384496 1483179328 1529528682 2039371576 2224768992 2526039793 2966358656 3059057364 4078743152 4449537984 5052079586 6118114728 7578119379 8157486304 8899075968 10104159172 12236229456 15156238758 16314972608 20208318344 24472458912 27786437723 30312477516 32629945216 40416636688 48944917824 55572875446 60624955032 80833273376 83359313169 97889835648 111145750892 121249910064 161666546752 166718626338 222291501784 242499820128 323333093504 333437252676 444583003568 484999640256 666874505352 889166007136 969999280512 1333749010704 1778332014272 2667498021408 3556664028544 5334996042816 10669992085632