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7829146738141 = 192352313424903
BaseRepresentation
bin111000111101101110110…
…0000101001110111011101
31000201110101200211102111221
41301323131200221313131
52011233043031110031
624352354345413341
71435431361153201
oct161733540516735
930643350742457
107829146738141
112549360256883
12a6541149a251
1344a392c59201
141d0d0b574b01
15d89c2771a11
hex71edd829ddd

7829146738141 has 16 divisors (see below), whose sum is σ = 8601166909440. Its totient is φ = 7093246034160.

The previous prime is 7829146738139. The next prime is 7829146738183. The reversal of 7829146738141 is 1418376419287.

It is a happy number.

It is not a de Polignac number, because 7829146738141 - 21 = 7829146738139 is a prime.

It is a super-2 number, since 2×78291467381412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7829146738141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7829146738111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573496 + ... + 3998398.

It is an arithmetic number, because the mean of its divisors is an integer number (537572931840).

Almost surely, 27829146738141 is an apocalyptic number.

It is an amenable number.

7829146738141 is a deficient number, since it is larger than the sum of its proper divisors (772020171299).

7829146738141 is a wasteful number, since it uses less digits than its factorization.

7829146738141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430176.

The product of its digits is 16257024, while the sum is 61.

The spelling of 7829146738141 in words is "seven trillion, eight hundred twenty-nine billion, one hundred forty-six million, seven hundred thirty-eight thousand, one hundred forty-one".

Divisors: 1 19 23 437 5231 99389 120313 2285947 3424903 65073157 78772769 1496682611 17915667593 340397684267 412060354639 7829146738141