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55690217280 = 2633529474729
BaseRepresentation
bin110011110111011001…
…010100011101000000
312022202010222011022000
4303313121110131000
51403023143423110
641330030344000
74011025015335
oct636731243500
9168663864260
1055690217280
1121688748565
12a96265b000
1353368c3cb9
1429a434098c
1516ae1da1c0
hexcf7654740

55690217280 has 448 divisors, whose sum is σ = 207605376000. Its totient is φ = 14030585856.

The previous prime is 55690217237. The next prime is 55690217371. The reversal of 55690217280 is 8271209655.

55690217280 is a `hidden beast` number, since 5 + 569 + 0 + 2 + 1 + 7 + 2 + 80 = 666.

55690217280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×556902172802 (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11773956 + ... + 11778684.

Almost surely, 255690217280 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 55690217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103802688000).

55690217280 is an abundant number, since it is smaller than the sum of its proper divisors (151915158720).

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

55690217280 is a wasteful number, since it uses less digits than its factorization.

55690217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 55690217280 in words is "fifty-five billion, six hundred ninety million, two hundred seventeen thousand, two hundred eighty".