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53460673646664 = 23319137693094309
BaseRepresentation
bin11000010011111010010000…
…11101100101000001001000
321000021210100021011111211110
430021331020131211001020
524001344424423143124
6305411254443530320
714155256221155324
oct1411751035450110
9230253307144743
1053460673646664
11160415a96139a9
125bb50535299a0
1323aa420a6158b
14d2b7207d0984
1562a97c719029
hex309f48765048

53460673646664 has 64 divisors (see below), whose sum is σ = 134387121024000. Its totient is φ = 17722215866880.

The previous prime is 53460673646657. The next prime is 53460673646689. The reversal of 53460673646664 is 46664637606435.

It is a happy number.

It is a super-2 number, since 2×534606736466642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53460673646595 and 53460673646604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15729942 + ... + 18824250.

It is an arithmetic number, because the mean of its divisors is an integer number (2099798766000).

Almost surely, 253460673646664 is an apocalyptic number.

It is an amenable number.

53460673646664 is an abundant number, since it is smaller than the sum of its proper divisors (80926447377336).

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

53460673646664 is a wasteful number, since it uses less digits than its factorization.

53460673646664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098278 (or 3098274 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 66.

The spelling of 53460673646664 in words is "fifty-three trillion, four hundred sixty billion, six hundred seventy-three million, six hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 191 382 573 764 1146 1528 2292 3769 4584 7538 11307 15076 22614 30152 45228 90456 719879 1439758 2159637 2879516 3094309 4319274 5759032 6188618 8638548 9282927 12377236 17277096 18565854 24754472 37131708 74263416 591013019 1182026038 1773039057 2364052076 3546078114 4728104152 7092156228 11662450621 14184312456 23324901242 34987351863 46649802484 69974703726 93299604968 139949407452 279898814904 2227528068611 4455056137222 6682584205833 8910112274444 13365168411666 17820224548888 26730336823332 53460673646664