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67742212704 = 25319113328667
BaseRepresentation
bin111111000101110000…
…000010001001100000
320110212001220221221220
4333011300002021200
52102214001301304
651041554415040
74615500210255
oct770560021140
9213761827856
1067742212704
1126802793061
1211166891480
13650776223a
1433c8c1542c
151b672cbad9
hexfc5c02260

67742212704 has 96 divisors (see below), whose sum is σ = 188839486080. Its totient is φ = 21202900992.

The previous prime is 67742212669. The next prime is 67742212781. The reversal of 67742212704 is 40721224776.

It is a tau number, because it is divible by the number of its divisors (96).

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, 41779 + ... + 370445.

It is an arithmetic number, because the mean of its divisors is an integer number (1967077980).

Almost surely, 267742212704 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 67742212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94419743040).

67742212704 is an abundant number, since it is smaller than the sum of its proper divisors (121097273376).

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

67742212704 is a wasteful number, since it uses less digits than its factorization.

67742212704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328812 (or 328804 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 67742212704 in words is "sixty-seven billion, seven hundred forty-two million, two hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 113 114 152 226 228 304 339 452 456 608 678 904 912 1356 1808 1824 2147 2712 3616 4294 5424 6441 8588 10848 12882 17176 25764 34352 51528 68704 103056 206112 328667 657334 986001 1314668 1972002 2629336 3944004 5258672 6244673 7888008 10517344 12489346 15776016 18734019 24978692 31552032 37139371 37468038 49957384 74278742 74936076 99914768 111418113 148557484 149872152 199829536 222836226 297114968 299744304 445672452 594229936 599488608 705648049 891344904 1188459872 1411296098 1782689808 2116944147 2822592196 3565379616 4233888294 5645184392 8467776588 11290368784 16935553176 22580737568 33871106352 67742212704