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664841554002 = 2321731263266489
BaseRepresentation
bin10011010110010111010…
…01010000100001010010
32100120001221200021202100
421223023221100201102
541343043414212002
61225231325501230
766014251652343
oct11531351204122
92316057607670
10664841554002
11236a597a785a
12a8a26111816
134a90447ac42
142426db520ca
151246267a11c
hex9acba50852

664841554002 has 96 divisors (see below), whose sum is σ = 1580417879040. Its totient is φ = 201081185280.

The previous prime is 664841554001. The next prime is 664841554021. The reversal of 664841554002 is 200455148466.

It is a happy number.

664841554002 is a `hidden beast` number, since 6 + 64 + 8 + 41 + 5 + 540 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (664841554001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2361574 + ... + 2628062.

It is an arithmetic number, because the mean of its divisors is an integer number (16462686240).

Almost surely, 2664841554002 is an apocalyptic number.

664841554002 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 664841554002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790208939520).

664841554002 is an abundant number, since it is smaller than the sum of its proper divisors (915576325038).

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

664841554002 is a wasteful number, since it uses less digits than its factorization.

664841554002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266808 (or 266805 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 664841554002 in words is "six hundred sixty-four billion, eight hundred forty-one million, five hundred fifty-four thousand, two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 263 279 306 526 527 558 789 1054 1578 1581 2367 3162 4471 4734 4743 8153 8942 9486 13413 16306 24459 26826 40239 48918 73377 80478 138601 146754 266489 277202 415803 532978 799467 831606 1247409 1598934 2398401 2494818 4530313 4796802 8261159 9060626 13590939 16522318 24783477 27181878 40772817 49566954 70086607 74350431 81545634 140173214 140439703 148700862 210259821 280879406 420519642 421319109 630779463 842638218 1191472319 1261558926 1263957327 2172684817 2382944638 2527914654 3574416957 4345369634 6518054451 7148833914 10723250871 13036108902 19554163353 21446501742 36935641889 39108326706 73871283778 110806925667 221613851334 332420777001 664841554002