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38115794419470 = 2335197429979419
BaseRepresentation
bin10001010101010100001100…
…11000101111111100001110
311222221211112020201010221000
420222222012120233330032
514443442121332410340
6213022053151321130
711012526626625225
oct1052520630577416
9158854466633830
1038115794419470
11111658aa300519
12433711a5201a6
1318363c4b39981
1495ab585c5cbc
1546172c8b1d30
hex22aa8662ff0e

38115794419470 has 64 divisors (see below), whose sum is σ = 106991703648000. Its totient is φ = 9629253325728.

The previous prime is 38115794419457. The next prime is 38115794419471. The reversal of 38115794419470 is 7491449751183.

It is a happy number.

38115794419470 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 579 + 4 + 4 + 19 + 47 + 0 = 666.

38115794419470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38115794419398 and 38115794419407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38115794419471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3714984580 + ... + 3714994839.

It is an arithmetic number, because the mean of its divisors is an integer number (1671745369500).

Almost surely, 238115794419470 is an apocalyptic number.

38115794419470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38115794419470 is an abundant number, since it is smaller than the sum of its proper divisors (68875909228530).

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

38115794419470 is a wasteful number, since it uses less digits than its factorization.

38115794419470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429979454 (or 7429979448 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 38115794419470 in words is "thirty-eight trillion, one hundred fifteen billion, seven hundred ninety-four million, four hundred nineteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 7429979419 14859958838 22289938257 37149897095 44579876514 66869814771 74299794190 111449691285 133739629542 141169608961 200609444313 222899382570 282339217922 334349073855 401218888626 423508826883 668698147710 705848044805 847017653766 1003047221565 1270526480649 1411696089610 2006094443130 2117544134415 2541052961298 3811579441947 4235088268830 6352632403245 7623158883894 12705264806490 19057897209735 38115794419470