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38142541593 = 32134322933107
BaseRepresentation
bin100011100001011110…
…001111111100011001
310122110012220212120200
4203201132033330121
51111103442312333
625304503012413
72520131153112
oct434136177431
9118405825520
1038142541593
11151a351a052
127485a3a109
13379b2c5350
141bbba19209
15ed38cdc13
hex8e178ff19

38142541593 has 48 divisors (see below), whose sum is σ = 60979638720. Its totient is φ = 22825660032.

The previous prime is 38142541573. The next prime is 38142541601. The reversal of 38142541593 is 39514524183.

38142541593 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 2 + 54 + 1 + 593 = 666.

It is not a de Polignac number, because 38142541593 - 25 = 38142541561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38142541573) 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, 1135546 + ... + 1168652.

It is an arithmetic number, because the mean of its divisors is an integer number (1270409140).

Almost surely, 238142541593 is an apocalyptic number.

It is an amenable number.

38142541593 is a deficient number, since it is larger than the sum of its proper divisors (22837097127).

38142541593 is a wasteful number, since it uses less digits than its factorization.

38142541593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33398 (or 33395 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 38142541593 in words is "thirty-eight billion, one hundred forty-two million, five hundred forty-one thousand, five hundred ninety-three".

Divisors: 1 3 9 13 39 43 117 129 229 387 559 687 1677 2061 2977 5031 8931 9847 26793 29541 33107 88623 99321 128011 297963 384033 430391 1152099 1291173 1423601 3873519 4270803 7581503 12812409 18506813 22744509 55520439 68233527 98559539 166561317 295678617 326004629 887035851 978013887 2934041661 4238060177 12714180531 38142541593