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66503136840 = 23357110971389
BaseRepresentation
bin111101111011111001…
…010101011001001000
320100122201101101102020
4331323321111121020
52042144300334330
650315013004440
74543003223220
oct757371253110
9210581341366
1066503136840
1126227318018
1210a7b923720
13636ab38a5a
14330c433080
151ae3623210
hexf7be55648

66503136840 has 128 divisors (see below), whose sum is σ = 228219552000. Its totient is φ = 15186797568.

The previous prime is 66503136797. The next prime is 66503136841. The reversal of 66503136840 is 4863130566.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66503136792 and 66503136801.

It is not an unprimeable number, because it can be changed into a prime (66503136841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895866 + ... + 967254.

It is an arithmetic number, because the mean of its divisors is an integer number (1782965250).

Almost surely, 266503136840 is an apocalyptic number.

66503136840 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 66503136840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114109776000).

66503136840 is an abundant number, since it is smaller than the sum of its proper divisors (161716415160).

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

66503136840 is a wasteful number, since it uses less digits than its factorization.

66503136840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72519 (or 72515 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 66503136840 in words is "sixty-six billion, five hundred three million, one hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1109 2218 3327 4436 5545 6654 7763 8872 11090 13308 15526 16635 22180 23289 26616 31052 33270 38815 44360 46578 62104 66540 71389 77630 93156 116445 133080 142778 155260 186312 214167 232890 285556 310520 356945 428334 465780 499723 571112 713890 856668 931560 999446 1070835 1427780 1499169 1713336 1998892 2141670 2498615 2855560 2998338 3997784 4283340 4997230 5996676 7495845 8566680 9994460 11993352 14991690 19988920 29983380 59966760 79170401 158340802 237511203 316681604 395852005 475022406 554192807 633363208 791704010 950044812 1108385614 1187556015 1583408020 1662578421 1900089624 2216771228 2375112030 2770964035 3166816040 3325156842 4433542456 4750224060 5541928070 6650313684 8312892105 9500448120 11083856140 13300627368 16625784210 22167712280 33251568420 66503136840