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192960423168 = 2832344324659
BaseRepresentation
bin1011001110110101010…
…1100110010100000000
3200110001202002010111120
42303231111212110000
511130140332020133
6224351135312240
716640511351252
oct2635525462400
9613052063446
10192960423168
117491a145a07
123149207b680
1315271a6a1b6
1494a71c1cd2
15504543dab3
hex2ced566500

192960423168 has 144 divisors (see below), whose sum is σ = 537116106240. Its totient is φ = 61382244352.

The previous prime is 192960423167. The next prime is 192960423179. The reversal of 192960423168 is 861324069291.

It is a self number, because there is not a number n which added to its sum of digits gives 192960423168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192960423163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7812823 + ... + 7837481.

It is an arithmetic number, because the mean of its divisors is an integer number (3729972960).

Almost surely, 2192960423168 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 192960423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268558053120).

192960423168 is an abundant number, since it is smaller than the sum of its proper divisors (344155683072).

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

192960423168 is a wasteful number, since it uses less digits than its factorization.

192960423168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25144 (or 25130 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 192960423168 in words is "one hundred ninety-two billion, nine hundred sixty million, four hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 443 552 736 768 886 1104 1329 1472 1772 2208 2658 2944 3544 4416 5316 5888 7088 8832 10189 10632 14176 17664 20378 21264 24659 28352 30567 40756 42528 49318 56704 61134 73977 81512 85056 98636 113408 122268 147954 163024 170112 197272 244536 295908 326048 340224 394544 489072 567157 591816 652096 789088 978144 1134314 1183632 1304192 1578176 1701471 1956288 2268628 2367264 2608384 3156352 3402942 3912576 4537256 4734528 6312704 6805884 7825152 9074512 9469056 10923937 13611768 18149024 18938112 21847874 27223536 32771811 36298048 43695748 54447072 65543622 72596096 87391496 108894144 131087244 145192192 174782992 217788288 251250551 262174488 349565984 435576576 502501102 524348976 699131968 753751653 1005002204 1048697952 1398263936 1507503306 2010004408 2097395904 2796527872 3015006612 4020008816 4194791808 6030013224 8040017632 8389583616 12060026448 16080035264 24120052896 32160070528 48240105792 64320141056 96480211584 192960423168