Search a number
-
+
54985034976 = 2536157716273
BaseRepresentation
bin110011001101010111…
…010000110011100000
312020221000001012000220
4303031113100303200
51400102132104401
641132040043040
73654403041264
oct631527206340
9166830035026
1054985034976
1121356689673
12a7a6463480
13525378bb71
1429388180a4
15166c342336
hexccd5d0ce0

54985034976 has 96 divisors (see below), whose sum is σ = 146965156128. Its totient is φ = 17995530240.

The previous prime is 54985034969. The next prime is 54985035011. The reversal of 54985034976 is 67943058945.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 3370776 + ... + 3387048.

It is an arithmetic number, because the mean of its divisors is an integer number (1530887043).

Almost surely, 254985034976 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 54985034976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73482578064).

54985034976 is an abundant number, since it is smaller than the sum of its proper divisors (91980121152).

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

54985034976 is a wasteful number, since it uses less digits than its factorization.

54985034976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16924 (or 16916 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 54985034976 in words is "fifty-four billion, nine hundred eighty-five million, thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 577 732 976 1154 1464 1731 1952 2308 2928 3462 4616 5856 6924 9232 13848 16273 18464 27696 32546 35197 48819 55392 65092 70394 97638 105591 130184 140788 195276 211182 260368 281576 390552 422364 520736 563152 781104 844728 992653 1126304 1562208 1689456 1985306 2977959 3378912 3970612 5955918 7941224 9389521 11911836 15882448 18779042 23823672 28168563 31764896 37558084 47647344 56337126 75116168 95294688 112674252 150232336 225348504 300464672 450697008 572760781 901394016 1145521562 1718282343 2291043124 3436564686 4582086248 6873129372 9164172496 13746258744 18328344992 27492517488 54985034976