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655605506556 = 22337111326832
BaseRepresentation
bin10011000101001010010…
…00100010000111111100
32022200020021102110112000
421202211020202013330
541220140002202211
61221103033142300
765236341600330
oct11424510420774
92280207373460
10655605506556
1123304a2426a0
12a7088b5a990
1349a91b31c00
1423a352537c0
15120c18c3656
hex98a52221fc

655605506556 has 432 divisors, whose sum is σ = 2298042673920. Its totient is φ = 156957989760.

The previous prime is 655605506531. The next prime is 655605506581.

655605506556 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (655605506531) and next prime (655605506581).

It is a super-2 number, since 2×6556055065562 (a number of 24 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 959890591 + ... + 959891273.

Almost surely, 2655605506556 is an apocalyptic number.

655605506556 is a gapful number since it is divisible by the number (66) 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 655605506556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149021336960).

655605506556 is an abundant number, since it is smaller than the sum of its proper divisors (1642437167364).

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

655605506556 is a wasteful number, since it uses less digits than its factorization.

655605506556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 54.

The spelling of 655605506556 in words is "six hundred fifty-five billion, six hundred five million, five hundred six thousand, five hundred fifty-six".