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55261650416 = 24721793791039
BaseRepresentation
bin110011011101110110…
…011101110111110000
312021122021112201002012
4303131312131313300
51401133440303131
641215320542052
73664302164300
oct633566356760
9167567481065
1055261650416
1121488840975
12a863021928
135298b8cb3b
142963461600
15168678252b
hexcddd9ddf0

55261650416 has 120 divisors (see below), whose sum is σ = 125697312000. Its totient is φ = 23466506112.

The previous prime is 55261650413. The next prime is 55261650443. The reversal of 55261650416 is 61405616255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55261650413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53186825 + ... + 53187863.

It is an arithmetic number, because the mean of its divisors is an integer number (1047477600).

Almost surely, 255261650416 is an apocalyptic number.

55261650416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55261650416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62848656000).

55261650416 is an abundant number, since it is smaller than the sum of its proper divisors (70435661584).

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

55261650416 is a wasteful number, since it uses less digits than its factorization.

55261650416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 55261650416 in words is "fifty-five billion, two hundred sixty-one million, six hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 179 196 358 379 392 716 758 784 1039 1253 1432 1516 2078 2506 2653 2864 3032 4156 5012 5306 6064 7273 8312 8771 10024 10612 14546 16624 17542 18571 20048 21224 29092 35084 37142 42448 50911 58184 67841 70168 74284 101822 116368 135682 140336 148568 185981 203644 271364 297136 371962 393781 407288 474887 542728 743924 787562 814576 949774 1085456 1301867 1487848 1575124 1899548 2603734 2756467 2975696 3150248 3324209 3799096 5207468 5512934 6300496 6648418 7598192 9113069 10414936 11025868 13296836 18226138 19295269 20829872 22051736 26593672 36452276 38590538 44103472 53187344 70486799 72904552 77181076 140973598 145809104 154362152 281947196 308724304 493407593 563894392 986815186 1127788784 1973630372 3453853151 3947260744 6907706302 7894521488 13815412604 27630825208 55261650416