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54071773952 = 287371395867
BaseRepresentation
bin110010010110111011…
…011100101100000000
312011120100120201102112
4302112323130230000
51341214333231302
640501253434452
73622643331560
oct622673345400
9164510521375
1054071773952
1120a2811a099
12a59063ba28
135139501521
14288d408da0
151617096552
hexc96edcb00

54071773952 has 144 divisors (see below), whose sum is σ = 127618202880. Its totient is φ = 22381277184.

The previous prime is 54071773913. The next prime is 54071773957. The reversal of 54071773952 is 25937717045.

It is a super-3 number, since 3×540717739523 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54071773952.

It is not an unprimeable number, because it can be changed into a prime (54071773957) 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, 9213323 + ... + 9219189.

It is an arithmetic number, because the mean of its divisors is an integer number (886237520).

Almost surely, 254071773952 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 54071773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63809101440).

54071773952 is an abundant number, since it is smaller than the sum of its proper divisors (73546428928).

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

54071773952 is a wasteful number, since it uses less digits than its factorization.

54071773952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 50.

The spelling of 54071773952 in words is "fifty-four billion, seventy-one million, seven hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 139 148 224 256 259 278 296 448 518 556 592 896 973 1036 1112 1184 1792 1946 2072 2224 2368 3892 4144 4448 4736 5143 5867 7784 8288 8896 9472 10286 11734 15568 16576 17792 20572 23468 31136 33152 35584 36001 41069 41144 46936 62272 66304 72002 82138 82288 93872 124544 144004 164276 164576 187744 217079 249088 288008 328552 329152 375488 434158 576016 657104 658304 750976 815513 868316 1152032 1314208 1316608 1501952 1519553 1631026 1736632 2304064 2628416 3039106 3262052 3473264 4608128 5256832 5708591 6078212 6524104 6946528 9216256 10513664 11417182 12156424 13048208 13893056 22834364 24312848 26096416 27786112 30173981 45668728 48625696 52192832 55572224 60347962 91337456 97251392 104385664 120695924 182674912 194502784 208771328 211217867 241391848 365349824 389005568 422435734 482783696 730699648 844871468 965567392 1461399296 1689742936 1931134784 3379485872 3862269568 6758971744 7724539136 13517943488 27035886976 54071773952