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4072975975341 = 3271312174086367
BaseRepresentation
bin111011010001010000010…
…010010100001110101101
3112102101001200212100111200
4323101100102110032231
51013212423322202331
612355033242240113
7600156066364530
oct73212022241655
915371050770450
104072975975341
111330380834a99
125594534b6039
13237106965330
141011c12a6a17
1570e329b65e6
hex3b4504943ad

4072975975341 has 48 divisors (see below), whose sum is σ = 7246797702144. Its totient is φ = 2146617096192.

The previous prime is 4072975975319. The next prime is 4072975975351. The reversal of 4072975975341 is 1435795792704.

4072975975341 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 9 + 7 + 5 + 97 + 534 + 1 = 666.

It is not a de Polignac number, because 4072975975341 - 27 = 4072975975213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072975975351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1046461 + ... + 3039906.

It is an arithmetic number, because the mean of its divisors is an integer number (150974952128).

Almost surely, 24072975975341 is an apocalyptic number.

It is an amenable number.

4072975975341 is a deficient number, since it is larger than the sum of its proper divisors (3173821726803).

4072975975341 is a wasteful number, since it uses less digits than its factorization.

4072975975341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087610 (or 4087607 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 4072975975341 in words is "four trillion, seventy-two billion, nine hundred seventy-five million, nine hundred seventy-five thousand, three hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1217 3651 8519 10953 15821 25557 47463 76671 110747 142389 332241 996723 4086367 12259101 28604569 36777303 53122771 85813707 159368313 257441121 371859397 478104939 1115578191 3346734573 4973108639 14919325917 34811760473 44757977751 64650412307 104435281419 193951236921 313305844257 452552886149 581853710763 1357658658447 4072975975341