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655606312055640 = 23335111572309152231
BaseRepresentation
bin1001010100010001010011110…
…1010101111011001101011000
310011222022100111010021021022000
42111010110331111323031120
51141412423211341240030
610242205214254001000
7255043664404130151
oct22504247525731530
93158270433237260
10655606312055640
1117a9950915969a0
1261644a8b4a6160
13221a854387930a
14b7c772c902928
1550bdc585e5860
hex254453d57b358

655606312055640 has 512 divisors, whose sum is σ = 2400262647552000. Its totient is φ = 157853108275200.

The previous prime is 655606312055633. The next prime is 655606312055683. The reversal of 655606312055640 is 46550213606556.

655606312055640 is a `hidden beast` number, since 6 + 5 + 5 + 6 + 0 + 63 + 1 + 20 + 556 + 4 + 0 = 666.

655606312055640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4306578325 + ... + 4306730555.

It is an arithmetic number, because the mean of its divisors is an integer number (4688012983500).

Almost surely, 2655606312055640 is an apocalyptic number.

655606312055640 is a gapful number since it is divisible by the number (60) 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 655606312055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200131323776000).

655606312055640 is an abundant number, since it is smaller than the sum of its proper divisors (1744656335496360).

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

655606312055640 is a wasteful number, since it uses less digits than its factorization.

655606312055640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154728 (or 154718 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 655606312055640 in words is "six hundred fifty-five trillion, six hundred six billion, three hundred twelve million, fifty-five thousand, six hundred forty".