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168078064480 = 25519434912713
BaseRepresentation
bin1001110010001000111…
…0111011101101100000
3121001211122112100020021
42130202032323231200
510223210441030410
6205114120123224
715100062655414
oct2344216735540
9531748470207
10168078064480
116531075a607
12286a9006514
1312b07a13131
1481c66dcd44
15458ac57eda
hex27223bbb60

168078064480 has 96 divisors (see below), whose sum is σ = 418112604000. Its totient is φ = 63673085952.

The previous prime is 168078064421. The next prime is 168078064489. The reversal of 168078064480 is 84460870861.

168078064480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168078064489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13214604 + ... + 13227316.

It is an arithmetic number, because the mean of its divisors is an integer number (4355339625).

Almost surely, 2168078064480 is an apocalyptic number.

168078064480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168078064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209056302000).

168078064480 is an abundant number, since it is smaller than the sum of its proper divisors (250034539520).

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

168078064480 is a wasteful number, since it uses less digits than its factorization.

168078064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096 (or 17088 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 168078064480 in words is "one hundred sixty-eight billion, seventy-eight million, sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4349 8698 12713 17396 21745 25426 34792 43490 50852 63565 69584 82631 86980 101704 127130 139168 165262 173960 203408 241547 254260 330524 347920 406816 413155 483094 508520 661048 695840 826310 966188 1017040 1207735 1322096 1652620 1932376 2034080 2415470 2644192 3305240 3864752 4830940 6610480 7729504 9661880 13220960 19323760 38647520 55288837 110577674 221155348 276444185 442310696 552888370 884621392 1050487903 1105776740 1769242784 2100975806 2211553480 4201951612 4423106960 5252439515 8403903224 8846213920 10504879030 16807806448 21009758060 33615612896 42019516120 84039032240 168078064480