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427386587904 = 2832199932149
BaseRepresentation
bin1100011100000100011…
…10011100101100000000
31111212011022021011221100
412032002032130230000
524000241431303104
6524201053454400
742610016025423
oct6160216345400
91455138234840
10427386587904
11155287650221
126a9b6aa1400
13313c1445843
14169854b79ba
15b1b5d93139
hex638239cb00

427386587904 has 108 divisors (see below), whose sum is σ = 1238454490000. Its totient is φ = 141746153472.

The previous prime is 427386587861. The next prime is 427386587909. The reversal of 427386587904 is 409785683724.

427386587904 is a `hidden beast` number, since 42 + 7 + 3 + 8 + 6 + 587 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×4273865879042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427386587909) 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, 7579 + ... + 924570.

Almost surely, 2427386587904 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 427386587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619227245000).

427386587904 is an abundant number, since it is smaller than the sum of its proper divisors (811067902096).

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

427386587904 is a wasteful number, since it uses less digits than its factorization.

427386587904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932370 (or 932353 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 427386587904 in words is "four hundred twenty-seven billion, three hundred eighty-six million, five hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 576 597 768 796 1152 1194 1592 1791 2304 2388 3184 3582 4776 6368 7164 9552 12736 14328 19104 25472 28656 38208 50944 57312 76416 114624 152832 229248 458496 932149 1864298 2796447 3728596 5592894 7457192 8389341 11185788 14914384 16778682 22371576 29828768 33557364 44743152 59657536 67114728 89486304 119315072 134229456 178972608 185497651 238630144 268458912 357945216 370995302 536917824 556492953 715890432 741990604 1073835648 1112985906 1483981208 1669478859 2147671296 2225971812 2967962416 3338957718 4451943624 5935924832 6677915436 8903887248 11871849664 13355830872 17807774496 23743699328 26711661744 35615548992 47487398656 53423323488 71231097984 106846646976 142462195968 213693293952 427386587904