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38331200213383 = 7112238922108087
BaseRepresentation
bin10001011011100101011011…
…00100101001000110000111
312000201102112020201020201011
420231302231210221012013
520011004244223312013
6213305035453143051
711034223605644260
oct1055625544510607
9160642466636634
1038331200213383
1111239197256700
124370a1548aa87
131850802a9471c
1496735075d967
154671385a5c3d
hex22dcad929187

38331200213383 has 48 divisors (see below), whose sum is σ = 50809692165120. Its totient is φ = 28248827967360.

The previous prime is 38331200213381. The next prime is 38331200213413.

It is a happy number.

38331200213383 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38331200213383 - 21 = 38331200213381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38331200213381) 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, 9320235 + ... + 12787852.

It is an arithmetic number, because the mean of its divisors is an integer number (1058535253440).

Almost surely, 238331200213383 is an apocalyptic number.

38331200213383 is a deficient number, since it is larger than the sum of its proper divisors (12478491951737).

38331200213383 is a wasteful number, since it uses less digits than its factorization.

38331200213383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22108228 (or 22108217 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

It can be divided in two parts, 38331200 and 213383, that added together give a palindrome (38544583).

The spelling of 38331200213383 in words is "thirty-eight trillion, three hundred thirty-one billion, two hundred million, two hundred thirteen thousand, three hundred eighty-three".

Divisors: 1 7 11 23 77 89 121 161 253 623 847 979 1771 2047 2783 6853 10769 14329 19481 22517 75383 157619 247687 1733809 22108087 154756609 243188957 508486001 1702322699 1967619743 2675078527 3559402007 5593346011 13773338201 18725549689 21643817173 39153422077 45255254089 61526806121 151506720211 238081988903 316786778623 430687642847 497807794979 1666573922321 3484654564853 5475885744769 38331200213383