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54875623920 = 24351317588341
BaseRepresentation
bin110011000110110101…
…111001000111110000
312020122101011112021120
4303012311321013300
51344341124431140
641113131022240
73651604051515
oct630665710760
9166571145246
1054875623920
11212aa94a507
12a77589a980
135236c018b0
14292809730c
15166292e1d0
hexcc6d791f0

54875623920 has 80 divisors (see below), whose sum is σ = 183200170272. Its totient is φ = 13507845120.

The previous prime is 54875623861. The next prime is 54875623937. The reversal of 54875623920 is 2932657845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×548756239202 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 8791051 + ... + 8797290.

Almost surely, 254875623920 is an apocalyptic number.

It is an amenable number.

54875623920 is an abundant number, since it is smaller than the sum of its proper divisors (128324546352).

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

54875623920 is a wasteful number, since it uses less digits than its factorization.

54875623920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17588370 (or 17588364 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 54875623920 in words is "fifty-four billion, eight hundred seventy-five million, six hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 17588341 35176682 52765023 70353364 87941705 105530046 140706728 175883410 211060092 228648433 263825115 281413456 351766820 422120184 457296866 527650230 685945299 703533640 844240368 914593732 1055300460 1143242165 1371890598 1407067280 1829187464 2110600920 2286484330 2743781196 3429726495 3658374928 4221201840 4572968660 5487562392 6859452990 9145937320 10975124784 13718905980 18291874640 27437811960 54875623920