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55432126764 = 223571923103181
BaseRepresentation
bin110011101000000000…
…110010000100101100
312022002011022210200000
4303220000302010230
51402011111024024
641244250504300
74001442206010
oct635000620454
9168064283600
1055432126764
1121565a99313
12a8b0135090
1352c52aac11
14297bd5a540
151696708cc9
hexce803212c

55432126764 has 576 divisors, whose sum is σ = 185197608960. Its totient is φ = 14133968640.

The previous prime is 55432126693. The next prime is 55432126777. The reversal of 55432126764 is 46762123455.

55432126764 is a `hidden beast` number, since 5 + 5 + 4 + 321 + 267 + 64 = 666.

It is a super-2 number, since 2×554321267642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 306254754 + ... + 306254934.

Almost surely, 255432126764 is an apocalyptic number.

55432126764 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 55432126764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92598804480).

55432126764 is an abundant number, since it is smaller than the sum of its proper divisors (129765482196).

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

55432126764 is a wasteful number, since it uses less digits than its factorization.

55432126764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 55432126764 in words is "fifty-five billion, four hundred thirty-two million, one hundred twenty-six thousand, seven hundred sixty-four".