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54461305332 = 223271797131059
BaseRepresentation
bin110010101110001001…
…011001000111110100
312012120111112222000200
4302232021121013310
51343014043232312
641004050440500
73635413312560
oct625611310764
9165514488020
1054461305332
1121107a94855
12a67ab93130
13519c118b75
1428c90466a0
15163b38d0dc
hexcae2591f4

54461305332 has 144 divisors (see below), whose sum is σ = 168306203520. Its totient is φ = 14493966336.

The previous prime is 54461305321. The next prime is 54461305333. The reversal of 54461305332 is 23350316445.

54461305332 is a `hidden beast` number, since 5 + 4 + 4 + 613 + 0 + 5 + 3 + 32 = 666.

54461305332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54461305333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350019 + ... + 481077.

It is an arithmetic number, because the mean of its divisors is an integer number (1168793080).

Almost surely, 254461305332 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 54461305332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84153101760).

54461305332 is an abundant number, since it is smaller than the sum of its proper divisors (113844898188).

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

54461305332 is a wasteful number, since it uses less digits than its factorization.

54461305332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131190 (or 131185 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 54461305332 in words is "fifty-four billion, four hundred sixty-one million, three hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 97 102 119 126 153 194 204 238 252 291 306 357 388 476 582 612 679 714 873 1071 1164 1358 1428 1649 1746 2037 2142 2716 3298 3492 4074 4284 4947 6111 6596 8148 9894 11543 12222 14841 19788 23086 24444 29682 34629 46172 59364 69258 103887 131059 138516 207774 262118 393177 415548 524236 786354 917413 1179531 1572708 1834826 2228003 2359062 2752239 3669652 4456006 4718124 5504478 6684009 8256717 8912012 11008956 12712723 13368018 15596021 16513434 20052027 25425446 26736036 31192042 33026868 38138169 40104054 46788063 50850892 62384084 76276338 80208108 88989061 93576126 114414507 140364189 152552676 177978122 187152252 216116291 228829014 266967183 280728378 355956244 432232582 457658028 533934366 561456756 648348873 800901549 864465164 1067868732 1296697746 1512814037 1601803098 1945046619 2593395492 3025628074 3203606196 3890093238 4538442111 6051256148 7780186476 9076884222 13615326333 18153768444 27230652666 54461305332