Search a number
-
+
1051416168507 = 3231122315431997
BaseRepresentation
bin11110100110011010100…
…10011000100000111011
310201111220000000102002100
433103031102120200323
5114211300014343012
62123003001234443
7135651033654645
oct17231522304073
93644800012070
101051416168507
113759a3020341
1214b931192a23
13781c05584a3
1438c62c97895
151c53a5e68dc
hexf4cd49883b

1051416168507 has 48 divisors (see below), whose sum is σ = 1570787831808. Its totient is φ = 676999926720.

The previous prime is 1051416168497. The next prime is 1051416168559. The reversal of 1051416168507 is 7058616141501.

1051416168507 is a `hidden beast` number, since 10 + 5 + 14 + 1 + 61 + 68 + 507 = 666.

1051416168507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1051416168507 - 28 = 1051416168251 is a prime.

It is a super-2 number, since 2×10514161685072 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051416163507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526496833 + ... + 526498829.

It is an arithmetic number, because the mean of its divisors is an integer number (32724746496).

Almost surely, 21051416168507 is an apocalyptic number.

1051416168507 is a deficient number, since it is larger than the sum of its proper divisors (519371663301).

1051416168507 is a wasteful number, since it uses less digits than its factorization.

1051416168507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1051416168507 in words is "one trillion, fifty-one billion, four hundred sixteen million, one hundred sixty-eight thousand, five hundred seven".

Divisors: 1 3 9 31 93 279 1223 1543 1997 3669 4629 5991 11007 13887 17973 37913 47833 61907 113739 143499 185721 341217 430497 557163 1887089 2442331 3081371 5661267 7326993 9244113 16983801 21980979 27732339 58499759 75712261 95522501 175499277 227136783 286567503 526497831 681410349 859702509 3768516733 11305550199 33916650597 116824018723 350472056169 1051416168507