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55929210480 = 24355112133159
BaseRepresentation
bin110100000101101001…
…000000011001110000
312100100210200021100000
4310011221000121300
51404020334213410
641405445030000
74016656305453
oct640551003160
9170323607300
1055929210480
11217a0643700
12aa0a6b5300
1353742817b0
1429c7d9349a
1516c5197dc0
hexd05a40670

55929210480 has 1440 divisors, whose sum is σ = 242044508160. Its totient is φ = 11906611200.

The previous prime is 55929210479. The next prime is 55929210481. The reversal of 55929210480 is 8401292955.

It is a happy number.

55929210480 is a `hidden beast` number, since 5 + 592 + 9 + 2 + 10 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55929210479) and next prime (55929210481).

It is a super-2 number, since 2×559292104802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55929210481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 947952691 + ... + 947952749.

It is an arithmetic number, because the mean of its divisors is an integer number (168086464).

Almost surely, 255929210480 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 55929210480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121022254080).

55929210480 is an abundant number, since it is smaller than the sum of its proper divisors (186115297680).

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

55929210480 is a wasteful number, since it uses less digits than its factorization.

55929210480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 55929210480 in words is "fifty-five billion, nine hundred twenty-nine million, two hundred ten thousand, four hundred eighty".