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55693207680 = 27351117181857
BaseRepresentation
bin110011110111100100…
…101110100010000000
312022202100121002100120
4303313210232202000
51403024430121210
641330214420240
74011062311605
oct636744564200
9168670532316
1055693207680
112168a400270
12a963661680
135337400176
1429a48bc6ac
1516ae5cb270
hexcf792e880

55693207680 has 512 divisors, whose sum is σ = 206425739520. Its totient is φ = 12622233600.

The previous prime is 55693207657. The next prime is 55693207729. The reversal of 55693207680 is 8670239655.

It is a happy number.

It is a super-2 number, since 2×556932076802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64985812 + ... + 64986668.

Almost surely, 255693207680 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 55693207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103212869760).

55693207680 is an abundant number, since it is smaller than the sum of its proper divisors (150732531840).

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

55693207680 is a wasteful number, since it uses less digits than its factorization.

55693207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 55693207680 in words is "fifty-five billion, six hundred ninety-three million, two hundred seven thousand, six hundred eighty".