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7338142291873 = 53672273909151
BaseRepresentation
bin110101011001000101101…
…0111010101011110100001
3221222112000202100012011011
41222302023113111132201
51430212003411314443
623335032424220521
71355110002215641
oct152621327253641
927875022305134
107338142291873
11237a0a8023008
129a622100a741
13412ca36929c3
141b524cd2a521
15cad3673cb9d
hex6ac8b5d57a1

7338142291873 has 16 divisors (see below), whose sum is σ = 7591535571456. Its totient is φ = 7089100761600.

The previous prime is 7338142291847. The next prime is 7338142291919. The reversal of 7338142291873 is 3781922418337.

7338142291873 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7338142291873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7338142391873) 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 15 ways as a sum of consecutive naturals, for example, 7616848 + ... + 8525998.

It is an arithmetic number, because the mean of its divisors is an integer number (474470973216).

Almost surely, 27338142291873 is an apocalyptic number.

It is an amenable number.

7338142291873 is a deficient number, since it is larger than the sum of its proper divisors (253393279583).

7338142291873 is a wasteful number, since it uses less digits than its factorization.

7338142291873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911544.

The product of its digits is 12192768, while the sum is 58.

The spelling of 7338142291873 in words is "seven trillion, three hundred thirty-eight billion, one hundred forty-two million, two hundred ninety-one thousand, eight hundred seventy-three".

Divisors: 1 53 67 2273 3551 120469 152291 909151 8071423 48185003 60913117 2066500223 3228395201 109524511819 138455514941 7338142291873