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61070414688 = 25321997115057
BaseRepresentation
bin111000111000000101…
…001001001101100000
312211122002202111122200
4320320011021031200
52000033011232223
644015542533200
74261244650143
oct707005111540
9184562674580
1061070414688
11239997254a8
12ba04437200
1359b344c86a
142d54ad005a
1518c66e2a43
hexe38149360

61070414688 has 144 divisors (see below), whose sum is σ = 184695703920. Its totient is φ = 19086409728.

The previous prime is 61070414663. The next prime is 61070414711. The reversal of 61070414688 is 88641407016.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×610704146882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473256 + ... + 588312.

It is an arithmetic number, because the mean of its divisors is an integer number (1282609055).

Almost surely, 261070414688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61070414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92347851960).

61070414688 is an abundant number, since it is smaller than the sum of its proper divisors (123625289232).

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

61070414688 is a wasteful number, since it uses less digits than its factorization.

61070414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115189 (or 115178 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 61070414688 in words is "sixty-one billion, seventy million, four hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 97 114 144 152 171 194 228 288 291 304 342 388 456 582 608 684 776 873 912 1164 1368 1552 1746 1824 1843 2328 2736 3104 3492 3686 4656 5472 5529 6984 7372 9312 11058 13968 14744 16587 22116 27936 29488 33174 44232 58976 66348 88464 115057 132696 176928 230114 265392 345171 460228 530784 690342 920456 1035513 1380684 1840912 2071026 2186083 2761368 3681824 4142052 4372166 5522736 6558249 8284104 8744332 11045472 11160529 13116498 16568208 17488664 19674747 22321058 26232996 33136416 33481587 34977328 39349494 44642116 52465992 66963174 69954656 78698988 89284232 100444761 104931984 133926348 157397976 178568464 200889522 209863968 212050051 267852696 314795952 357136928 401779044 424100102 535705392 629591904 636150153 803558088 848200204 1071410784 1272300306 1607116176 1696400408 1908450459 2544600612 3214232352 3392800816 3816900918 5089201224 6785601632 7633801836 10178402448 15267603672 20356804896 30535207344 61070414688