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54552214640 = 24571139722307
BaseRepresentation
bin110010110011100100…
…001011110001110000
312012210211121122011002
4302303210023301300
51343210331332030
641021055141132
73640566113360
oct626344136160
9165724548132
1054552214640
1121154337310
12a6a55147a8
1351b4bc8961
1428d714c9a0
151644349245
hexcb390bc70

54552214640 has 160 divisors (see below), whose sum is σ = 158535995904. Its totient is φ = 16959697920.

The previous prime is 54552214627. The next prime is 54552214643. The reversal of 54552214640 is 4641225545.

It is a junction number, because it is equal to n+sod(n) for n = 54552214594 and 54552214603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54552214643) 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 31 ways as a sum of consecutive naturals, for example, 2434367 + ... + 2456673.

Almost surely, 254552214640 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 54552214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79267997952).

54552214640 is an abundant number, since it is smaller than the sum of its proper divisors (103983781264).

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

54552214640 is a wasteful number, since it uses less digits than its factorization.

54552214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22735 (or 22729 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 54552214640 in words is "fifty-four billion, five hundred fifty-two million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 397 440 560 616 770 794 880 1232 1540 1588 1985 2779 3080 3176 3970 4367 5558 6160 6352 7940 8734 11116 13895 15880 17468 21835 22232 22307 27790 30569 31760 34936 43670 44464 44614 55580 61138 69872 87340 89228 111160 111535 122276 152845 156149 174680 178456 222320 223070 244552 245377 305690 312298 349360 356912 446140 489104 490754 611380 624596 780745 892280 981508 1222760 1226885 1249192 1561490 1717639 1784560 1963016 2445520 2453770 2498384 3122980 3435278 3926032 4907540 6245960 6870556 8588195 8855879 9815080 12491920 13741112 17176390 17711758 19630160 27482224 34352780 35423516 44279395 61991153 68705560 70847032 88558790 97414669 123982306 137411120 141694064 177117580 194829338 247964612 309955765 354235160 389658676 487073345 495929224 619911530 681902683 708470320 779317352 974146690 991858448 1239823060 1363805366 1558634704 1948293380 2479646120 2727610732 3409513415 3896586760 4959292240 5455221464 6819026830 7793173520 10910442928 13638053660 27276107320 54552214640