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427142687488 = 2811743204151
BaseRepresentation
bin1100011011100111011…
…00000010101100000000
31111211112022022202110121
412031303230002230000
523444242011444423
6524120542110024
742600664636456
oct6156354025400
91454468282417
10427142687488
11155171a03230
126a94927b314
1331382a5a57a
1416960d489d6
15b19e76645d
hex6373b02b00

427142687488 has 72 divisors (see below), whose sum is σ = 931383887616. Its totient is φ = 193893504000.

The previous prime is 427142687341. The next prime is 427142687527. The reversal of 427142687488 is 884786241724.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1990213 + ... + 2194363.

It is an arithmetic number, because the mean of its divisors is an integer number (12935887328).

Almost surely, 2427142687488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427142687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465691943808).

427142687488 is an abundant number, since it is smaller than the sum of its proper divisors (504241200128).

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

427142687488 is a wasteful number, since it uses less digits than its factorization.

427142687488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204921 (or 204907 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 61.

The spelling of 427142687488 in words is "four hundred twenty-seven billion, one hundred forty-two million, six hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 743 1408 1486 2816 2972 5944 8173 11888 16346 23776 32692 47552 65384 95104 130768 190208 204151 261536 408302 523072 816604 1046144 1633208 2092288 2245661 3266416 4491322 6532832 8982644 13065664 17965288 26131328 35930576 52262656 71861152 143722304 151684193 287444608 303368386 574889216 606736772 1213473544 1668526123 2426947088 3337052246 4853894176 6674104492 9707788352 13348208984 19415576704 26696417968 38831153408 53392835936 106785671872 213571343744 427142687488