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655855985664 = 21033113596007
BaseRepresentation
bin10011000101101000001…
…00000010010000000000
32022200212201202010021000
421202310010002100000
541221143113020124
61221143541532000
765245502616165
oct11426404022000
92280781663230
10655855985664
11233168673320
12a7138a14000
1349b019b16b9
1423a5a61606c
15120d889e6c9
hex98b4102400

655855985664 has 352 divisors, whose sum is σ = 2125159372800. Its totient is φ = 198157639680.

The previous prime is 655855985663. The next prime is 655855985723. The reversal of 655855985664 is 466589558556.

655855985664 is a `hidden beast` number, since 6 + 5 + 5 + 8 + 5 + 59 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 655855985592 and 655855985601.

It is not an unprimeable number, because it can be changed into a prime (655855985663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109178949 + ... + 109184955.

Almost surely, 2655855985664 is an apocalyptic number.

655855985664 is a gapful number since it is divisible by the number (64) 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 655855985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062579686400).

655855985664 is an abundant number, since it is smaller than the sum of its proper divisors (1469303387136).

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

655855985664 is a wasteful number, since it uses less digits than its factorization.

655855985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6382 counting only the distinct ones).

The product of its digits is 1555200000, while the sum is 72.

The spelling of 655855985664 in words is "six hundred fifty-five billion, eight hundred fifty-five million, nine hundred eighty-five thousand, six hundred sixty-four".