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61015010706 = 2321319910911201
BaseRepresentation
bin111000110100110001…
…110010110110010010
312211111020111200200100
4320310301302312102
51444424320320311
644010243233230
74260003014406
oct706461626622
9184436450610
1061015010706
1123970423691
12b9a9978816
1359a4b21840
142d4b5cb106
1518c18eba56
hexe34c72d92

61015010706 has 96 divisors (see below), whose sum is σ = 143334172800. Its totient is φ = 18646848000.

The previous prime is 61015010689. The next prime is 61015010731. The reversal of 61015010706 is 60701051016.

61015010706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61015010706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50802906 + ... + 50804106.

It is an arithmetic number, because the mean of its divisors is an integer number (1493064300).

Almost surely, 261015010706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61015010706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71667086400).

61015010706 is an abundant number, since it is smaller than the sum of its proper divisors (82319162094).

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

61015010706 is a wasteful number, since it uses less digits than its factorization.

61015010706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 61015010706 in words is "sixty-one billion, fifteen million, ten thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 199 234 398 597 1091 1194 1201 1791 2182 2402 2587 3273 3582 3603 5174 6546 7206 7761 9819 10809 14183 15522 15613 19638 21618 23283 28366 31226 42549 46566 46839 85098 93678 127647 140517 217109 238999 255294 281034 434218 477998 651327 716997 1302654 1310291 1433994 1953981 2150991 2620582 2822417 3106987 3907962 3930873 4301982 5644834 6213974 7861746 8467251 9320961 11792619 16934502 17033783 18641922 23585238 25401753 27962883 34067566 50803506 51101349 55925766 102202698 153304047 260747909 306608094 521495818 782243727 1564487454 2346731181 3389722817 4693462362 6779445634 10169168451 20338336902 30507505353 61015010706