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54221311504 = 24171571677603
BaseRepresentation
bin110010011111110101…
…111000111000010000
312011221202222000101101
4302133311320320100
51342021123432004
640524154514144
73626440354243
oct623765707020
9164852860341
1054221311504
1120aa4575948
12a612735954
13516149aa99
1428a521325a
151625283ba4
hexc9fd78e10

54221311504 has 80 divisors (see below), whose sum is σ = 112627041408. Its totient is φ = 25198258176.

The previous prime is 54221311493. The next prime is 54221311523. The reversal of 54221311504 is 40511312245.

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, 7127767 + ... + 7135369.

Almost surely, 254221311504 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 54221311504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56313520704).

54221311504 is an abundant number, since it is smaller than the sum of its proper divisors (58405729904).

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

54221311504 is a wasteful number, since it uses less digits than its factorization.

54221311504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 54221311504 its reverse (40511312245), we get a palindrome (94732623749).

The spelling of 54221311504 in words is "fifty-four billion, two hundred twenty-one million, three hundred eleven thousand, five hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 157 167 272 314 334 628 668 1256 1336 2512 2669 2672 2839 5338 5678 7603 10676 11356 15206 21352 22712 26219 30412 42704 45424 52438 60824 104876 121648 129251 209752 258502 419504 445723 517004 891446 1034008 1193671 1269701 1782892 2068016 2387342 2539402 3565784 4774684 5078804 7131568 9549368 10157608 19098736 20292407 20315216 21584917 40584814 43169834 81169628 86339668 162339256 172679336 199343057 324678512 345358672 398686114 797372228 1594744456 3189488912 3388831969 6777663938 13555327876 27110655752 54221311504