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61003687140 = 22355111141109
BaseRepresentation
bin111000110100000110…
…100110010011100100
312211110110012101200000
4320310012212103210
51444413420442030
644005200421300
74256504533164
oct706406462344
9184413171600
1061003687140
1123964a9a070
12b9a6017830
1359a26886c6
142d49cc05a4
1518c0911860
hexe341a64e4

61003687140 has 144 divisors (see below), whose sum is σ = 209343476160. Its totient is φ = 14788759680.

The previous prime is 61003687123. The next prime is 61003687181. The reversal of 61003687140 is 4178630016.

61003687140 is a `hidden beast` number, since 610 + 0 + 36 + 8 + 7 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61003687095 and 61003687104.

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, 517095 + ... + 624014.

It is an arithmetic number, because the mean of its divisors is an integer number (1453774140).

Almost surely, 261003687140 is an apocalyptic number.

61003687140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61003687140 is an abundant number, since it is smaller than the sum of its proper divisors (148339789020).

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

61003687140 is a wasteful number, since it uses less digits than its factorization.

61003687140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141144 (or 1141130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 61003687140 in words is "sixty-one billion, three million, six hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 1141109 2282218 3423327 4564436 5705545 6846654 10269981 11411090 12552199 13693308 17116635 20539962 22822180 25104398 30809943 34233270 37656597 41079924 50208796 51349905 61619886 62760995 68466540 75313194 92429829 102699810 112969791 123239772 125521990 150626388 154049715 184859658 188282985 205399620 225939582 251043980 277289487 308099430 338909373 369719316 376565970 451879164 462149145 554578974 564848955 616198860 677818746 753131940 924298290 1016728119 1109157948 1129697910 1355637492 1386447435 1694546865 1848596580 2033456238 2259395820 2772894870 3050184357 3389093730 4066912476 5083640595 5545789740 6100368714 6778187460 10167281190 12200737428 15250921785 20334562380 30501843570 61003687140