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55452932856 = 2333535698513
BaseRepresentation
bin110011101001010000…
…001001101011111000
312022010121110212021000
4303221100021223320
51402031422322411
641250312445000
74002114103116
oct635120115370
9168117425230
1055452932856
112157680a232
12a8b70a9760
1352c96b4209
142980a14ab6
151698468956
hexce9409af8

55452932856 has 128 divisors (see below), whose sum is σ = 157236552000. Its totient is φ = 18101551104.

The previous prime is 55452932849. The next prime is 55452932879. The reversal of 55452932856 is 65823925455.

55452932856 is a `hidden beast` number, since 5 + 5 + 4 + 529 + 32 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 6509656 + ... + 6518168.

Almost surely, 255452932856 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 55452932856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78618276000).

55452932856 is an abundant number, since it is smaller than the sum of its proper divisors (101783619144).

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

55452932856 is a wasteful number, since it uses less digits than its factorization.

55452932856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9140 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 55452932856 in words is "fifty-five billion, four hundred fifty-two million, nine hundred thirty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 569 636 954 1138 1272 1431 1707 1908 2276 2862 3414 3816 4552 5121 5724 6828 8513 10242 11448 13656 15363 17026 20484 25539 30157 30726 34052 40968 51078 60314 61452 68104 76617 90471 102156 120628 122904 153234 180942 204312 229851 241256 271413 306468 361884 451189 459702 542826 612936 723768 814239 902378 919404 1085652 1353567 1628478 1804756 1838808 2171304 2707134 3256956 3609512 4060701 4843897 5414268 6513912 8121402 9687794 10828536 12182103 14531691 16242804 19375588 24364206 29063382 32485608 38751176 43595073 48728412 58126764 87190146 97456824 116253528 130785219 174380292 256726541 261570438 348760584 513453082 523140876 770179623 1026906164 1046281752 1540359246 2053812328 2310538869 3080718492 4621077738 6161436984 6931616607 9242155476 13863233214 18484310952 27726466428 55452932856