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66707044440 = 23352353456023
BaseRepresentation
bin111110001000000011…
…001011100001011000
320101011221001222001120
4332020003023201120
52043104000410230
650351135245240
74551030344061
oct761003134130
9211157058046
1066707044440
11263214298a3
1210b18079820
1363a116083a
14332b551568
151b064a0310
hexf880cb858

66707044440 has 128 divisors (see below), whose sum is σ = 212762557440. Its totient is φ = 16694053376.

The previous prime is 66707044429. The next prime is 66707044457. The reversal of 66707044440 is 4444070766.

It is a junction number, because it is equal to n+sod(n) for n = 66707044392 and 66707044401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81732 + ... + 374291.

It is an arithmetic number, because the mean of its divisors is an integer number (1662207480).

Almost surely, 266707044440 is an apocalyptic number.

66707044440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66707044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106381278720).

66707044440 is an abundant number, since it is smaller than the sum of its proper divisors (146055513000).

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

66707044440 is a wasteful number, since it uses less digits than its factorization.

66707044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456113 (or 456109 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 66707044440 in words is "sixty-six billion, seven hundred seven million, forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 53 60 69 92 106 115 120 138 159 184 212 230 265 276 318 345 424 460 530 552 636 690 795 920 1060 1219 1272 1380 1590 2120 2438 2760 3180 3657 4876 6095 6360 7314 9752 12190 14628 18285 24380 29256 36570 48760 73140 146280 456023 912046 1368069 1824092 2280115 2736138 3648184 4560230 5472276 6840345 9120460 10488529 10944552 13680690 18240920 20977058 24169219 27361380 31465587 41954116 48338438 52442645 54722760 62931174 72507657 83908232 96676876 104885290 120846095 125862348 145015314 157327935 193353752 209770580 241692190 251724696 290030628 314655870 362538285 419541160 483384380 555892037 580061256 629311740 725076570 966768760 1111784074 1258623480 1450153140 1667676111 2223568148 2779460185 2900306280 3335352222 4447136296 5558920370 6670704444 8338380555 11117840740 13341408888 16676761110 22235681480 33353522220 66707044440