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68408624256 = 273725449637
BaseRepresentation
bin111111101101011110…
…001100010010000000
320112120111220011202020
4333231132030102000
52110100101434011
651232042121440
74641141466140
oct775536142200
9215514804666
1068408624256
1127014980a05
1211311ab0280
1365b28411bb
14344d528920
151ba5a67006
hexfed78c480

68408624256 has 64 divisors (see below), whose sum is σ = 207669046080. Its totient is φ = 19545320448.

The previous prime is 68408624243. The next prime is 68408624261. The reversal of 68408624256 is 65242680486.

It is a happy number.

68408624256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 68408624199 and 68408624208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12722131 + ... + 12727506.

It is an arithmetic number, because the mean of its divisors is an integer number (3244828845).

Almost surely, 268408624256 is an apocalyptic number.

It is an amenable number.

68408624256 is an abundant number, since it is smaller than the sum of its proper divisors (139260421824).

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

68408624256 is a wasteful number, since it uses less digits than its factorization.

68408624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25449661 (or 25449649 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 68408624256 in words is "sixty-eight billion, four hundred eight million, six hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 25449637 50899274 76348911 101798548 152697822 178147459 203597096 305395644 356294918 407194192 534442377 610791288 712589836 814388384 1068884754 1221582576 1425179672 1628776768 2137769508 2443165152 2850359344 3257553536 4275539016 4886330304 5700718688 8551078032 9772660608 11401437376 17102156064 22802874752 34204312128 68408624256