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18880248480 = 2535241163211
BaseRepresentation
bin10001100101010110…
…011011101010100000
31210201210111222221020
4101211112123222200
5302131320422410
612401245125440
71235604315132
oct214526335240
953653458836
1018880248480
118009454145
1237aab59880
131a1b6cc982
14cb16c5052
157577d2a70
hex46559baa0

18880248480 has 96 divisors (see below), whose sum is σ = 59719923648. Its totient is φ = 5013811200.

The previous prime is 18880248389. The next prime is 18880248551. The reversal of 18880248480 is 8484208881.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34075 + ... + 197285.

It is an arithmetic number, because the mean of its divisors is an integer number (622082538).

Almost surely, 218880248480 is an apocalyptic number.

18880248480 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 18880248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29859961824).

18880248480 is an abundant number, since it is smaller than the sum of its proper divisors (40839675168).

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

18880248480 is a wasteful number, since it uses less digits than its factorization.

18880248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163470 (or 163462 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 51.

The spelling of 18880248480 in words is "eighteen billion, eight hundred eighty million, two hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 241 480 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 7712 9640 11568 14460 19280 23136 28920 38560 57840 115680 163211 326422 489633 652844 816055 979266 1305688 1632110 1958532 2448165 2611376 3264220 3917064 4896330 5222752 6528440 7834128 9792660 13056880 15668256 19585320 26113760 39170640 39333851 78341280 78667702 118001553 157335404 196669255 236003106 314670808 393338510 472006212 590007765 629341616 786677020 944012424 1180015530 1258683232 1573354040 1888024848 2360031060 3146708080 3776049696 4720062120 6293416160 9440124240 18880248480