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68158767744 = 2732292040193
BaseRepresentation
bin111111011110100101…
…000100001010000000
320111221002202011001100
4333132211010022000
52104042121031434
651151154534400
74632015652404
oct773645041200
9214832664040
1068158767744
11269a6936021
1211262297400
136572b4bc02
143428289104
151b8db60699
hexfde944280

68158767744 has 96 divisors (see below), whose sum is σ = 202897293300. Its totient is φ = 21936144384.

The previous prime is 68158767731. The next prime is 68158767749. The reversal of 68158767744 is 44776785186.

68158767744 is a `hidden beast` number, since 6 + 8 + 1 + 587 + 6 + 7 + 7 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65884622400 + 2274145344 = 256680^2 + 47688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (68158767749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986689 + ... + 1053504.

Almost surely, 268158767744 is an apocalyptic number.

68158767744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

68158767744 is an abundant number, since it is smaller than the sum of its proper divisors (134738525556).

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

68158767744 is a wasteful number, since it uses less digits than its factorization.

68158767744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040242 (or 2040227 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 68158767744 in words is "sixty-eight billion, one hundred fifty-eight million, seven hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 2040193 4080386 6120579 8160772 12241158 16321544 18361737 24482316 32643088 36723474 48964632 59165597 65286176 73446948 97929264 118331194 130572352 146893896 177496791 195858528 236662388 261144704 293787792 354993582 391717056 473324776 532490373 587575584 709987164 783434112 946649552 1064980746 1175151168 1419974328 1893299104 2129961492 2350302336 2839948656 3786598208 4259922984 5679897312 7573196416 8519845968 11359794624 17039691936 22719589248 34079383872 68158767744