Search a number
-
+
10051011060006 = 237331157544297
BaseRepresentation
bin1001001001000010111011…
…1100011010000100100110
31022120212102020112121001010
42102100232330122010212
52304133432312410011
633213212025043050
72055106265244000
oct222205674320446
938525366477033
1010051011060006
113225678794454
121163b53326486
1357ba635085b7
1426a685c49370
151266b34511a6
hex9242ef1a126

10051011060006 has 64 divisors (see below), whose sum is σ = 24198804172800. Its totient is φ = 2779081381440.

The previous prime is 10051011059993. The next prime is 10051011060073. The reversal of 10051011060006 is 60006011015001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 78708351 + ... + 78835946.

It is an arithmetic number, because the mean of its divisors is an integer number (378106315200).

Almost surely, 210051011060006 is an apocalyptic number.

10051011060006 is an abundant number, since it is smaller than the sum of its proper divisors (14147793112794).

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

10051011060006 is a wasteful number, since it uses less digits than its factorization.

10051011060006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157544354 (or 157544340 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10051011060006 its reverse (60006011015001), we get a palindrome (70057022075007).

The spelling of 10051011060006 in words is "ten trillion, fifty-one billion, eleven million, sixty thousand, six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 343 434 651 686 1029 1302 1519 2058 3038 4557 9114 10633 21266 31899 63798 157544297 315088594 472632891 945265782 1102810079 2205620158 3308430237 4883873207 6616860474 7719670553 9767746414 14651619621 15439341106 23159011659 29303239242 34187112449 46318023318 54037693871 68374224898 102561337347 108075387742 162113081613 205122674694 239309787143 324226163226 478619574286 717929361429 1435858722858 1675168510001 3350337020002 5025505530003 10051011060006