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488840880080 = 24574320300701
BaseRepresentation
bin1110001110100010010…
…11111101111111010000
31201201210011100200111202
413013101023331333100
531002121231130310
61012323112330332
750213634631130
oct7072113757720
91651704320452
10488840880080
11179352a29543
127a8a79a39a8
1337136280437
1419935172ac0
15cab11123a5
hex71d12fdfd0

488840880080 has 80 divisors (see below), whose sum is σ = 1329127561344. Its totient is φ = 163704844800.

The previous prime is 488840879993. The next prime is 488840880089. The reversal of 488840880080 is 80088048884.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 488840879998 and 488840880025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488840880089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10126271 + ... + 10174430.

Almost surely, 2488840880080 is an apocalyptic number.

488840880080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488840880080 is an abundant number, since it is smaller than the sum of its proper divisors (840286681264).

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

488840880080 is a wasteful number, since it uses less digits than its factorization.

488840880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20300764 (or 20300758 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 56.

The spelling of 488840880080 in words is "four hundred eighty-eight billion, eight hundred forty million, eight hundred eighty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 6020 12040 24080 20300701 40601402 81202804 101503505 142104907 162405608 203007010 284209814 324811216 406014020 568419628 710524535 812028040 872930143 1136839256 1421049070 1624056080 1745860286 2273678512 2842098140 3491720572 4364650715 5684196280 6110511001 6983441144 8729301430 11368392560 12221022002 13966882288 17458602860 24442044004 30552555005 34917205720 48884088008 61105110010 69834411440 97768176016 122210220020 244420440040 488840880080