Search a number
-
+
620555645618766 = 23211131133975374069
BaseRepresentation
bin1000110100011001000101111…
…0110100100000101001001110
310000101012112120220121201020200
42031012101132310200221032
51122314140430234300031
610035451154504354330
7244465444252160214
oct21506213664405116
93011175526551220
10620555645618766
1116a801198110460
1259723a121759a6
13208351b9518760
14ad350a6b60cb4
154bb2122eb28e6
hex234645ed20a4e

620555645618766 has 192 divisors, whose sum is σ = 1597589256070080. Its totient is φ = 171612478033920.

The previous prime is 620555645618749. The next prime is 620555645618773. The reversal of 620555645618766 is 667816546555026.

620555645618766 is a `hidden beast` number, since 6 + 2 + 0 + 5 + 5 + 56 + 4 + 561 + 8 + 7 + 6 + 6 = 666.

It is a super-2 number, since 2×6205556456187662 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 620555645618694 and 620555645618703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112785180 + ... + 118159248.

It is an arithmetic number, because the mean of its divisors is an integer number (8320777375365).

Almost surely, 2620555645618766 is an apocalyptic number.

620555645618766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 620555645618766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798794628035040).

620555645618766 is an abundant number, since it is smaller than the sum of its proper divisors (977033610451314).

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

620555645618766 is a wasteful number, since it uses less digits than its factorization.

620555645618766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374611 (or 5374608 counting only the distinct ones).

The product of its (nonzero) digits is 2177280000, while the sum is 72.

The spelling of 620555645618766 in words is "six hundred twenty trillion, five hundred fifty-five billion, six hundred forty-five million, six hundred eighteen thousand, seven hundred sixty-six".