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55976716224 = 26331113226531
BaseRepresentation
bin110100001000011110…
…001110011111000000
312100111010001210222000
4310020132032133000
51404120014404344
641414303144000
74021104144252
oct641036163700
9170433053860
1055976716224
1121815440450
12aa225a5000
1353810757c0
1429d03dbcd2
1516c942da69
hexd0878e7c0

55976716224 has 224 divisors, whose sum is σ = 193331470080. Its totient is φ = 15657753600.

The previous prime is 55976716199. The next prime is 55976716247. The reversal of 55976716224 is 42261767955.

It is a happy number.

55976716224 is a `hidden beast` number, since 5 + 5 + 9 + 7 + 6 + 7 + 1 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133839 + ... + 360369.

It is an arithmetic number, because the mean of its divisors is an integer number (863086920).

Almost surely, 255976716224 is an apocalyptic number.

55976716224 is a gapful number since it is divisible by the number (54) 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 55976716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96665735040).

55976716224 is an abundant number, since it is smaller than the sum of its proper divisors (137354753856).

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

55976716224 is a wasteful number, since it uses less digits than its factorization.

55976716224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226576 (or 226560 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 55976716224 in words is "fifty-five billion, nine hundred seventy-six million, seven hundred sixteen thousand, two hundred twenty-four".