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40067519382 = 23211599913461
BaseRepresentation
bin100101010100001101…
…011101001110010110
310211102101002212200100
4211110031131032112
51124024241110012
630223505554530
72615624203212
oct452415351626
9124371085610
1040067519382
1115aa1085390
127922645a46
133a17062c67
141d21545942
1510978c28dc
hex95435d396

40067519382 has 96 divisors (see below), whose sum is σ = 96435256320. Its totient is φ = 11920392000.

The previous prime is 40067519293. The next prime is 40067519407. The reversal of 40067519382 is 28391576004.

40067519382 is a `hidden beast` number, since 40 + 0 + 67 + 519 + 38 + 2 = 666.

40067519382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400675193822 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11575132 + ... + 11578592.

It is an arithmetic number, because the mean of its divisors is an integer number (1004533920).

It is a 1-persistent number, because it is pandigital, but 2⋅40067519382 = 80135038764 is not.

Almost surely, 240067519382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40067519382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48217628160).

40067519382 is an abundant number, since it is smaller than the sum of its proper divisors (56367736938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40067519382 is a wasteful number, since it uses less digits than its factorization.

40067519382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40067519382 in words is "forty billion, sixty-seven million, five hundred nineteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 991 1062 1298 1947 1982 2973 3461 3894 5841 5946 6922 8919 10383 10901 11682 17838 20766 21802 31149 32703 38071 58469 62298 65406 76142 98109 114213 116938 175407 196218 204199 228426 342639 350814 408398 526221 612597 643159 685278 1052442 1225194 1286318 1837791 1929477 2246189 3429851 3675582 3858954 4492378 5788431 6738567 6859702 10289553 11576862 13477134 20215701 20579106 30868659 37728361 40431402 61737318 75456722 113185083 202361209 226370166 339555249 404722418 607083627 679110498 1214167254 1821250881 2225973299 3642501762 4451946598 6677919897 13355839794 20033759691 40067519382