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488080404400 = 24528314701217
BaseRepresentation
bin1110001101000111101…
…10111110111110110000
31201122211011101111222211
413012203312332332300
530444042040420100
61012115424541504
750156041661641
oct7064366767660
91648734344884
10488080404400
11178aa2733946
127a715181894
1337044858724
14198a21756c8
15ca694961ba
hex71a3dbefb0

488080404400 has 60 divisors (see below), whose sum is σ = 1186741121832. Its totient is φ = 192879953920.

The previous prime is 488080404353. The next prime is 488080404407. The reversal of 488080404400 is 4404080884.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (488080404407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7317409 + ... + 7383808.

Almost surely, 2488080404400 is an apocalyptic number.

488080404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488080404400 is an abundant number, since it is smaller than the sum of its proper divisors (698660717432).

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

488080404400 is a wasteful number, since it uses less digits than its factorization.

488080404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14701318 (or 14701307 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 488080404400 in words is "four hundred eighty-eight billion, eighty million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1328 1660 2075 3320 4150 6640 8300 16600 33200 14701217 29402434 58804868 73506085 117609736 147012170 235219472 294024340 367530425 588048680 735060850 1176097360 1220201011 1470121700 2440402022 2940243400 4880804044 5880486800 6101005055 9761608088 12202010110 19523216176 24404020220 30505025275 48808040440 61010050550 97616080880 122020101100 244040202200 488080404400