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12210089584 = 2471179125453
BaseRepresentation
bin10110101111100011…
…10010111001110000
31011111221102211002011
423113301302321300
5200001240331314
65335332332304
7611402022550
oct132761627160
934457384064
1012210089584
1151a6306030
122449174094
1311c78423a4
1483b8a9160
154b6e1e4c4
hex2d7c72e70

12210089584 has 80 divisors (see below), whose sum is σ = 29868088320. Its totient is φ = 4696922880.

The previous prime is 12210089539. The next prime is 12210089657. The reversal of 12210089584 is 48598001221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34602 + ... + 160054.

It is an arithmetic number, because the mean of its divisors is an integer number (373351104).

Almost surely, 212210089584 is an apocalyptic number.

12210089584 is a gapful number since it is divisible by the number (14) 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 12210089584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934044160).

12210089584 is an abundant number, since it is smaller than the sum of its proper divisors (17657998736).

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

12210089584 is a wasteful number, since it uses less digits than its factorization.

12210089584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125558 (or 125552 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 12210089584 in words is "twelve billion, two hundred ten million, eighty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 79 88 112 154 158 176 308 316 553 616 632 869 1106 1232 1264 1738 2212 3476 4424 6083 6952 8848 12166 13904 24332 48664 97328 125453 250906 501812 878171 1003624 1379983 1756342 2007248 2759966 3512684 5519932 7025368 9659881 9910787 11039864 14050736 19319762 19821574 22079728 38639524 39643148 69375509 77279048 79286296 109018657 138751018 154558096 158572592 218037314 277502036 436074628 555004072 763130599 872149256 1110008144 1526261198 1744298512 3052522396 6105044792 12210089584