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664821015144 = 2331113238422279
BaseRepresentation
bin10011010110010100110…
…10111010001001101000
32100120000112000210201220
421223022122322021220
541343023134441034
61225225313342040
766013612250316
oct11531232721150
92316015023656
10664821015144
11236a491496a0
12a8a1b267920
134a900139480
142426b1270b6
151246096e749
hex9aca6ba268

664821015144 has 128 divisors (see below), whose sum is σ = 2037517977600. Its totient is φ = 177878511360.

The previous prime is 664821015137. The next prime is 664821015149. The reversal of 664821015144 is 441510128466.

It is a super-3 number, since 3×6648210151443 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 664821015096 and 664821015105.

It is not an unprimeable number, because it can be changed into a prime (664821015149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4132204 + ... + 4290075.

It is an arithmetic number, because the mean of its divisors is an integer number (15918109200).

Almost surely, 2664821015144 is an apocalyptic number.

It is an amenable number.

664821015144 is an abundant number, since it is smaller than the sum of its proper divisors (1372696962456).

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

664821015144 is a wasteful number, since it uses less digits than its factorization.

664821015144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422335 (or 8422331 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 664821015144 in words is "six hundred sixty-four billion, eight hundred twenty-one million, fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 184 253 264 276 286 299 312 429 506 552 572 598 759 858 897 1012 1144 1196 1518 1716 1794 2024 2392 3036 3289 3432 3588 6072 6578 7176 9867 13156 19734 26312 39468 78936 8422279 16844558 25266837 33689116 50533674 67378232 92645069 101067348 109489627 185290138 193712417 202134696 218979254 277935207 328468881 370580276 387424834 437958508 555870414 581137251 656937762 741160552 774849668 875917016 1111740828 1162274502 1204385897 1313875524 1549699336 2130836587 2223481656 2324549004 2408771794 2518261421 2627751048 3613157691 4261673174 4649098008 4817543588 5036522842 6392509761 7226315382 7554784263 8523346348 9635087176 10073045684 12785019522 14452630764 15109568526 17046692696 20146091368 25570039044 27700875631 28905261528 30219137052 51140078088 55401751262 60438274104 83102626893 110803502524 166205253786 221607005048 332410507572 664821015144