Search a number
-
+
620793022706640 = 24345731973349577
BaseRepresentation
bin1000110100100110111010001…
…1100110001111001111010000
310000102001020022010111012020000
42031021232203212033033100
51122332033102303103030
610040152213315250000
7244521546551136000
oct21511564346171720
93012036263435200
10620793022706640
1116a89292a305a23
1259761a1b2a9900
13208516b9384474
14ad42784d26000
154bb83b7a14860
hex2349ba398f3d0

620793022706640 has 3200 divisors, whose sum is σ = 2695354569600000. Its totient is φ = 131976861843456.

The previous prime is 620793022706611. The next prime is 620793022706741. The reversal of 620793022706640 is 46607220397026.

620793022706640 is a `hidden beast` number, since 6 + 2 + 0 + 7 + 9 + 302 + 270 + 6 + 64 + 0 = 666.

620793022706640 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 639 ways as a sum of consecutive naturals, for example, 1075897786032 + ... + 1075897786608.

It is an arithmetic number, because the mean of its divisors is an integer number (842298303000).

Almost surely, 2620793022706640 is an apocalyptic number.

620793022706640 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 620793022706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347677284800000).

620793022706640 is an abundant number, since it is smaller than the sum of its proper divisors (2074561546893360).

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

620793022706640 is a wasteful number, since it uses less digits than its factorization.

620793022706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 620793022706640 in words is "six hundred twenty trillion, seven hundred ninety-three billion, twenty-two million, seven hundred six thousand, six hundred forty".