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67968154464 = 2537449225263
BaseRepresentation
bin111111010011001101…
…111011101101100000
320111102211001222210020
4333103031323231200
52103144321420324
651120225233440
74624212531510
oct772315735540
9214384058706
1067968154464
1126909284491
121120a492880
1365425002a2
14340ac2b840
151b7c05c679
hexfd337bb60

67968154464 has 96 divisors (see below), whose sum is σ = 204359500800. Its totient is φ = 19376136192.

The previous prime is 67968154459. The next prime is 67968154511. The reversal of 67968154464 is 46445186976.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 67968154398 and 67968154407.

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, 189097 + ... + 414359.

It is an arithmetic number, because the mean of its divisors is an integer number (2128744800).

Almost surely, 267968154464 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 67968154464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102179750400).

67968154464 is an abundant number, since it is smaller than the sum of its proper divisors (136391346336).

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

67968154464 is a wasteful number, since it uses less digits than its factorization.

67968154464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225732 (or 225724 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 67968154464 in words is "sixty-seven billion, nine hundred sixty-eight million, one hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 449 672 898 1347 1796 2694 3143 3592 5388 6286 7184 9429 10776 12572 14368 18858 21552 25144 37716 43104 50288 75432 100576 150864 225263 301728 450526 675789 901052 1351578 1576841 1802104 2703156 3153682 3604208 4730523 5406312 6307364 7208416 9461046 10812624 12614728 18922092 21625248 25229456 37844184 50458912 75688368 101143087 151376736 202286174 303429261 404572348 606858522 708001609 809144696 1213717044 1416003218 1618289392 2124004827 2427434088 2832006436 3236578784 4248009654 4854868176 5664012872 8496019308 9709736352 11328025744 16992038616 22656051488 33984077232 67968154464