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60623344064 = 2623317318199
BaseRepresentation
bin111000011101011011…
…101101000111000000
312210110221111222001102
4320131123231013000
51443124034002224
643503332353532
74244205631223
oct703533550700
9183427458042
1060623344064
112378a32a748
12b8ba7758a8
13594193a32a
142d115955ba
15189c3324ae
hexe1d6ed1c0

60623344064 has 112 divisors (see below), whose sum is σ = 131361484800. Its totient is φ = 27672606720.

The previous prime is 60623344051. The next prime is 60623344163. The reversal of 60623344064 is 46044332606.

60623344064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3322037 + ... + 3340235.

It is an arithmetic number, because the mean of its divisors is an integer number (1172870400).

Almost surely, 260623344064 is an apocalyptic number.

60623344064 is a gapful number since it is divisible by the number (64) 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 60623344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65680742400).

60623344064 is an abundant number, since it is smaller than the sum of its proper divisors (70738140736).

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

60623344064 is a wasteful number, since it uses less digits than its factorization.

60623344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18338 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

The spelling of 60623344064 in words is "sixty billion, six hundred twenty-three million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 73 92 124 146 184 248 292 368 496 584 713 736 992 1168 1426 1472 1679 1984 2263 2336 2852 3358 4526 4672 5704 6716 9052 11408 13432 18104 18199 22816 26864 36208 36398 45632 52049 53728 72416 72796 104098 107456 144832 145592 208196 291184 416392 418577 564169 582368 832784 837154 1128338 1164736 1328527 1665568 1674308 2256676 2657054 3331136 3348616 4513352 5314108 6697232 9026704 10628216 12975887 13394464 18053408 21256432 25951774 26788928 30556121 36106816 41184337 42512864 51903548 61112242 82368674 85025728 103807096 122224484 164737348 207614192 244448968 329474696 415228384 488897936 658949392 830456768 947239751 977795872 1317898784 1894479502 1955591744 2635797568 3788959004 7577918008 15155836016 30311672032 60623344064