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61666078080 = 2735110928961
BaseRepresentation
bin111001011011100101…
…011010110110000000
312220011121121100012210
4321123211122312000
52002243003444310
644155022022120
74312100005125
oct713345326600
9186147540183
1061666078080
11241749911a2
12bb4ba17940
135a7998a5c9
142dadc6874c
15190db55820
hexe5b95ad80

61666078080 has 128 divisors (see below), whose sum is σ = 196744658400. Its totient is φ = 16428892160.

The previous prime is 61666078051. The next prime is 61666078087. The reversal of 61666078080 is 8087066616.

61666078080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61666078087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114800 + ... + 2143760.

Almost surely, 261666078080 is an apocalyptic number.

61666078080 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 61666078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98372329200).

61666078080 is an abundant number, since it is smaller than the sum of its proper divisors (135078580320).

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

61666078080 is a wasteful number, since it uses less digits than its factorization.

61666078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30092 (or 30080 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 61666078080 in words is "sixty-one billion, six hundred sixty-six million, seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1109 1920 2218 3327 4436 5545 6654 8872 11090 13308 16635 17744 22180 26616 28961 33270 35488 44360 53232 57922 66540 70976 86883 88720 106464 115844 133080 141952 144805 173766 177440 212928 231688 266160 289610 347532 354880 425856 434415 463376 532320 579220 695064 709760 868830 926752 1064640 1158440 1390128 1737660 1853504 2129280 2316880 2780256 3475320 3707008 4633760 5560512 6950640 9267520 11121024 13901280 18535040 27802560 32117749 55605120 64235498 96353247 128470996 160588745 192706494 256941992 321177490 385412988 481766235 513883984 642354980 770825976 963532470 1027767968 1284709960 1541651952 1927064940 2055535936 2569419920 3083303904 3854129880 4111071872 5138839840 6166607808 7708259760 10277679680 12333215616 15416519520 20555359360 30833039040 61666078080