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55788484500 = 223253725032
BaseRepresentation
bin110011111101010000…
…001011011110010100
312022222222212122120200
4303331100023132110
51403223323001000
641343500500500
74013330202600
oct637520133624
9168888778520
1055788484500
1121729166141
12a98b54a730
13535107bb98
1429b3400500
1516b7b4b500
hexcfd40b794

55788484500 has 324 divisors, whose sum is σ = 205135621236. Its totient is φ = 12726302400.

The previous prime is 55788484489. The next prime is 55788484529. The reversal of 55788484500 is 548488755.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55788484500 is a `hidden beast` number, since 5 + 57 + 8 + 8 + 4 + 84 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1785231504 + 54003252996 = 42252^2 + 232386^2 .

It is a super-2 number, since 2×557884845002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 110911249 + ... + 110911751.

Almost surely, 255788484500 is an apocalyptic number.

55788484500 is a gapful number since it is divisible by the number (50) 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 55788484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102567810618).

55788484500 is an abundant number, since it is smaller than the sum of its proper divisors (149347136736).

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

55788484500 is a wasteful number, since it uses less digits than its factorization.

55788484500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 55788484500 in words is "fifty-five billion, seven hundred eighty-eight million, four hundred eighty-four thousand, five hundred".