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661663513340640 = 25325459488550931
BaseRepresentation
bin1001011001110001111000101…
…0101011000110101011100000
310012202202102011220010011201100
42112130132022223012223200
51143211143333403400030
610303124004411034400
7256240416451422156
oct22634361253065340
93182672156104640
10661663513340640
1118190aa138263a8
12622629a3a3ba00
13225277a8898bc5
14b9569835b73d6
1551765be24c360
hex259c78aac6ae0

661663513340640 has 72 divisors (see below), whose sum is σ = 2257926739279848. Its totient is φ = 176443603557120.

The previous prime is 661663513340581. The next prime is 661663513340651. The reversal of 661663513340640 is 46043315366166.

661663513340640 is a `hidden beast` number, since 6 + 6 + 1 + 6 + 63 + 5 + 133 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×6616635133406403 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229744274026 + ... + 229744276905.

It is an arithmetic number, because the mean of its divisors is an integer number (31360093601109).

Almost surely, 2661663513340640 is an apocalyptic number.

661663513340640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

661663513340640 is an abundant number, since it is smaller than the sum of its proper divisors (1596263225939208).

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

661663513340640 is a wasteful number, since it uses less digits than its factorization.

661663513340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459488550952 (or 459488550941 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 661663513340640 in words is "six hundred sixty-one trillion, six hundred sixty-three billion, five hundred thirteen million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 459488550931 918977101862 1378465652793 1837954203724 2297442754655 2756931305586 3675908407448 4135396958379 4594885509310 5513862611172 6892328263965 7351816814896 8270793916758 9189771018620 11027725222344 13784656527930 14703633629792 16541587833516 18379542037240 20676984791895 22055450444688 27569313055860 33083175667032 36759084074480 41353969583790 44110900889376 55138626111720 66166351334064 73518168148960 82707939167580 110277252223440 132332702668128 165415878335160 220554504446880 330831756670320 661663513340640