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66245655654 = 23323318592003
BaseRepresentation
bin111101101100100011…
…000111110001100110
320022222202212222122000
4331230203013301212
52041132341440104
650233254150130
74533425532213
oct755443076146
9208882788560
1066245655654
1126104a44652
1210a09652346
1363296a7119
1432c616ab0a
151acac12639
hexf6c8c7c66

66245655654 has 128 divisors (see below), whose sum is σ = 158832230400. Its totient is φ = 20406466080.

The previous prime is 66245655589. The next prime is 66245655667. The reversal of 66245655654 is 45655654266.

It is a happy number.

66245655654 is a `hidden beast` number, since 6 + 6 + 24 + 56 + 5 + 565 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 66245655654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33072217 + ... + 33074219.

It is an arithmetic number, because the mean of its divisors is an integer number (1240876800).

Almost surely, 266245655654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66245655654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79416115200).

66245655654 is an abundant number, since it is smaller than the sum of its proper divisors (92586574746).

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

66245655654 is a wasteful number, since it uses less digits than its factorization.

66245655654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2921 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 66245655654 in words is "sixty-six billion, two hundred forty-five million, six hundred fifty-five thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 558 621 713 837 859 1242 1426 1674 1718 2003 2139 2577 4006 4278 5154 6009 6417 7731 12018 12834 15462 18027 19251 19757 23193 26629 36054 38502 39514 46069 46386 53258 54081 59271 62093 79887 92138 108162 118542 124186 138207 159774 177813 186279 239661 276414 355626 372558 414621 479322 533439 558837 612467 718983 829242 1066878 1117674 1224934 1243863 1428139 1437966 1676511 1720577 1837401 2487726 2856278 3353022 3441154 3674802 4284417 5161731 5512203 8568834 10323462 11024406 12853251 15485193 16536609 25706502 30970386 33073218 38559753 39573271 46455579 53337887 77119506 79146542 92911158 106675774 118719813 160013661 237439626 320027322 356159439 480040983 712318878 960081966 1068478317 1226771401 1440122949 2136956634 2453542802 2880245898 3680314203 7360628406 11040942609 22081885218 33122827827 66245655654