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61722708768 = 2532782337201
BaseRepresentation
bin111001011110111101…
…011100101100100000
312220022120011110220200
4321132331130230200
52002402003140033
644204403505200
74313355240150
oct713675345440
9186276143820
1061722708768
11241a3950716
12bb66988200
135a88627aa6
142db75aa760
151913ae0013
hexe5ef5cb20

61722708768 has 144 divisors (see below), whose sum is σ = 200847943296. Its totient is φ = 17613158400.

The previous prime is 61722708721. The next prime is 61722708779. The reversal of 61722708768 is 86780722716.

It is a happy number.

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

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, 1640568 + ... + 1677768.

It is an arithmetic number, because the mean of its divisors is an integer number (1394777384).

Almost surely, 261722708768 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 61722708768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100423971648).

61722708768 is an abundant number, since it is smaller than the sum of its proper divisors (139125234528).

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

61722708768 is a wasteful number, since it uses less digits than its factorization.

61722708768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38047 (or 38036 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 61722708768 in words is "sixty-one billion, seven hundred twenty-two million, seven hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 823 1008 1646 2016 2469 3292 4938 5761 6584 7407 9876 11522 13168 14814 17283 19752 23044 26336 29628 34566 37201 39504 46088 51849 59256 69132 74402 79008 92176 103698 111603 118512 138264 148804 184352 207396 223206 237024 260407 276528 297608 334809 414792 446412 520814 553056 595216 669618 781221 829584 892824 1041628 1190432 1339236 1562442 1659168 1785648 2083256 2343663 2678472 3124884 3571296 4166512 4687326 5356944 6249768 8333024 9374652 10713888 12499536 18749304 24999072 30616423 37498608 61232846 74997216 91849269 122465692 183698538 214314961 244931384 275547807 367397076 428629922 489862768 551095614 642944883 734794152 857259844 979725536 1102191228 1285889766 1469588304 1714519688 1928834649 2204382456 2571779532 2939176608 3429039376 3857669298 4408764912 5143559064 6858078752 7715338596 8817529824 10287118128 15430677192 20574236256 30861354384 61722708768