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168528664960 = 2751779196073
BaseRepresentation
bin1001110011110100010…
…1110101100110000000
3121010000001102012212221
42130331011311212000
510230121314234320
6205230534100424
715114204005425
oct2347505654600
9533001365787
10168528664960
11655220463a7
12287b3aaa714
1312b7a190236
14822a4b5d4c
1545b55b43aa
hex273d175980

168528664960 has 128 divisors (see below), whose sum is σ = 431990236800. Its totient is φ = 62642651136.

The previous prime is 168528664907. The next prime is 168528664961. The reversal of 168528664960 is 69466825861.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168528664961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761484 + ... + 957556.

It is an arithmetic number, because the mean of its divisors is an integer number (3374923725).

Almost surely, 2168528664960 is an apocalyptic number.

168528664960 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 168528664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215995118400).

168528664960 is an abundant number, since it is smaller than the sum of its proper divisors (263461571840).

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

168528664960 is a wasteful number, since it uses less digits than its factorization.

168528664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196188 (or 196176 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 168528664960 in words is "one hundred sixty-eight billion, five hundred twenty-eight million, six hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 79 80 85 128 136 158 160 170 272 316 320 340 395 544 632 640 680 790 1088 1264 1343 1360 1580 2176 2528 2686 2720 3160 5056 5372 5440 6320 6715 10112 10744 10880 12640 13430 21488 25280 26860 42976 50560 53720 85952 107440 171904 196073 214880 392146 429760 784292 859520 980365 1568584 1960730 3137168 3333241 3921460 6274336 6666482 7842920 12548672 13332964 15489767 15685840 16666205 25097344 26665928 30979534 31371680 33332410 53331856 61959068 62743360 66664820 77448835 106663712 123918136 125486720 133329640 154897670 213327424 247836272 263326039 266659280 309795340 426654848 495672544 526652078 533318560 619590680 991345088 1053304156 1066637120 1239181360 1316630195 1982690176 2106608312 2133274240 2478362720 2633260390 4213216624 4956725440 5266520780 8426433248 9913450880 10533041560 16852866496 21066083120 33705732992 42132166240 84264332480 168528664960