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1008137001411 = 32977699149993
BaseRepresentation
bin11101010101110011010…
…01011101100111000011
310120101011210121220222200
432222321221131213003
5113004131033021121
62051044242404243
7132556401060141
oct16527151354703
93511153556880
101008137001411
11359604067551
12143473060683
13740b4009187
1436b18db4591
151b355cc4a26
hexeab9a5d9c3

1008137001411 has 24 divisors (see below), whose sum is σ = 1471411141200. Its totient is φ = 665071727616.

The previous prime is 1008137001353. The next prime is 1008137001413. The reversal of 1008137001411 is 1141007318001.

1008137001411 is a `hidden beast` number, since 100 + 81 + 3 + 70 + 0 + 1 + 411 = 666.

It is not a de Polignac number, because 1008137001411 - 27 = 1008137001283 is a prime.

It is a super-2 number, since 2×10081370014112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1008137001413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6646231 + ... + 6796223.

It is an arithmetic number, because the mean of its divisors is an integer number (61308797550).

Almost surely, 21008137001411 is an apocalyptic number.

1008137001411 is a deficient number, since it is larger than the sum of its proper divisors (463274139789).

1008137001411 is a wasteful number, since it uses less digits than its factorization.

1008137001411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157795 (or 157792 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 1008137001411 in words is "one trillion, eight billion, one hundred thirty-seven million, one thousand, four hundred eleven".

Divisors: 1 3 9 97 291 873 7699 23097 69291 149993 449979 746803 1349937 2240409 6721227 14549321 43647963 130943889 1154796107 3464388321 10393164963 112015222379 336045667137 1008137001411