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768065066208 = 25341126938309
BaseRepresentation
bin10110010110101000011…
…11101101010011100000
32201102111202221000110000
423023110033231103200
5100040444124104313
61344502203540000
7106330240225536
oct13132417552340
92642452830400
10768065066208
11276809785330
12104a3352a600
1357574a6c14b
1429262d5c156
1514ea48a9673
hexb2d43ed4e0

768065066208 has 120 divisors (see below), whose sum is σ = 2464208845560. Its totient is φ = 232746981120.

The previous prime is 768065066203. The next prime is 768065066213. The reversal of 768065066208 is 802660560867.

768065066208 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 6 + 5 + 0 + 6 + 620 + 8 = 666.

768065066208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768065066203) and next prime (768065066213).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768065066201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13440643 + ... + 13497666.

It is an arithmetic number, because the mean of its divisors is an integer number (20535073713).

Almost surely, 2768065066208 is an apocalyptic number.

It is an amenable number.

768065066208 is an abundant number, since it is smaller than the sum of its proper divisors (1696143779352).

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

768065066208 is a wasteful number, since it uses less digits than its factorization.

768065066208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26938342 (or 26938325 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 768065066208 in words is "seven hundred sixty-eight billion, sixty-five million, sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 26938309 53876618 80814927 107753236 161629854 215506472 242444781 296321399 323259708 431012944 484889562 592642798 646519416 727334343 862025888 888964197 969779124 1185285596 1293038832 1454668686 1777928394 1939558248 2182003029 2370571192 2586077664 2666892591 2909337372 3555856788 3879116496 4364006058 4741142384 5333785182 5818674744 7111713576 7758232992 8000677773 8728012116 9482284768 10667570364 11637349488 14223427152 16001355546 17456024232 21335140728 23274698976 24002033319 28446854304 32002711092 34912048464 42670281456 48004066638 64005422184 69824096928 85340562912 96008133276 128010844368 192016266552 256021688736 384032533104 768065066208