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3780006111 = 327314147207
BaseRepresentation
bin1110000101001110…
…0101000011011111
3100202102202012120100
43201103211003133
530220140143421
61423030352143
7162446343660
oct34123450337
910672665510
103780006111
11166a7955a2
12895abb653
13483186a0b
1427c049367
15171cbbc26
hexe14e50df

3780006111 has 48 divisors (see below), whose sum is σ = 6598545408. Its totient is φ = 2039299200.

The previous prime is 3780006107. The next prime is 3780006127. The reversal of 3780006111 is 1116000873.

It is not a de Polignac number, because 3780006111 - 22 = 3780006107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780006101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56470 + ... + 103676.

It is an arithmetic number, because the mean of its divisors is an integer number (137469696).

Almost surely, 23780006111 is an apocalyptic number.

3780006111 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3780006111 is a deficient number, since it is larger than the sum of its proper divisors (2818539297).

3780006111 is a wasteful number, since it uses less digits than its factorization.

3780006111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47292 (or 47289 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 3780006111 is about 61481.7542934487. The cubic root of 3780006111 is about 1557.7490700081.

Adding to 3780006111 its reverse (1116000873), we get a palindrome (4896006984).

The spelling of 3780006111 in words is "three billion, seven hundred eighty million, six thousand, one hundred eleven".

Divisors: 1 3 7 9 21 31 41 63 93 123 217 279 287 369 651 861 1271 1953 2583 3813 8897 11439 26691 47207 80073 141621 330449 424863 991347 1463417 1935487 2974041 4390251 5806461 10243919 13170753 13548409 17419383 30731757 40645227 60000097 92195271 121935681 180000291 420000679 540000873 1260002037 3780006111