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11427000620 = 22571014611753
BaseRepresentation
bin10101010010001101…
…00011000100101100
31002111100220202222012
422221012203010230
5141400303004440
65125520140352
7553112621420
oct125106430454
932440822865
1011427000620
114934275772
12226aa676b8
131101530939
147a58a2b80
1546d2d7e65
hex2a91a312c

11427000620 has 96 divisors (see below), whose sum is σ = 27772246656. Its totient is φ = 3868416000.

The previous prime is 11427000617. The next prime is 11427000623. The reversal of 11427000620 is 2600072411.

It is an interprime number because it is at equal distance from previous prime (11427000617) and next prime (11427000623).

It is not an unprimeable number, because it can be changed into a prime (11427000623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6517664 + ... + 6519416.

It is an arithmetic number, because the mean of its divisors is an integer number (289294236).

Almost surely, 211427000620 is an apocalyptic number.

11427000620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11427000620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886123328).

11427000620 is an abundant number, since it is smaller than the sum of its proper divisors (16345246036).

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

11427000620 is a wasteful number, since it uses less digits than its factorization.

11427000620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 11427000620 in words is "eleven billion, four hundred twenty-seven million, six hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 461 505 707 922 1010 1414 1753 1844 2020 2305 2828 3227 3506 3535 4610 6454 7012 7070 8765 9220 12271 12908 14140 16135 17530 24542 32270 35060 46561 49084 61355 64540 93122 122710 177053 186244 232805 245420 325927 354106 465610 651854 708212 808133 885265 931220 1239371 1303708 1616266 1629635 1770530 2478742 3232532 3259270 3541060 4040665 4957484 5656931 6196855 6518540 8081330 11313862 12393710 16162660 22627724 24787420 28284655 56569310 81621433 113138620 163242866 326485732 408107165 571350031 816214330 1142700062 1632428660 2285400124 2856750155 5713500310 11427000620