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38401352766483 = 37283127208111909
BaseRepresentation
bin10001011101101000000101…
…11111011001010000010011
312000222010121022010012002120
420232310002333121100103
520013131432302011413
6213401200553545323
711042256214546200
oct1056640277312023
9160863538105076
1038401352766483
1111265a16574113
124382533415243
1318573029c3085
1496a8c7726ca7
15468d9229c723
hex22ed02fd9413

38401352766483 has 96 divisors (see below), whose sum is σ = 60787822878720. Its totient is φ = 21496405432320.

The previous prime is 38401352766349. The next prime is 38401352766493. The reversal of 38401352766483 is 38466725310483.

It is a happy number.

It is not a de Polignac number, because 38401352766483 - 213 = 38401352758291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38401352766493) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3224559733 + ... + 3224571641.

It is an arithmetic number, because the mean of its divisors is an integer number (633206488320).

Almost surely, 238401352766483 is an apocalyptic number.

38401352766483 is a deficient number, since it is larger than the sum of its proper divisors (22386470112237).

38401352766483 is a wasteful number, since it uses less digits than its factorization.

38401352766483 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14217 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 38401352766483 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-six thousand, four hundred eighty-three".

Divisors: 1 3 7 21 49 83 127 147 249 381 581 889 1743 2081 2667 4067 6223 6243 10541 11909 12201 14567 18669 31623 35727 43701 73787 83363 101969 172723 221361 250089 264287 305907 516509 518169 583541 792861 988447 1209061 1512443 1549527 1750623 1850009 2965341 3627183 4537329 5550027 6919129 8463427 10587101 12950063 20757387 21935821 24782629 25390281 31761303 38850189 48433903 65807463 74109707 74347887 125532769 145301709 153550747 173478403 222329121 376598307 460652241 520435209 878729383 1074855229 1214348821 2056958207 2636188149 3147393883 3224565687 3643046463 6151105681 6170874621 9442181649 14398707449 18453317043 22031757181 43196122347 66095271543 100790952143 154222300267 261233692289 302372856429 462666900801 783701076867 1828635846023 5485907538069 12800450922161 38401352766483