Search a number
-
+
620691456000 = 21935371141
BaseRepresentation
bin10010000100001000001…
…10000000000000000000
32012100010001110221001110
421002010012000000000
540132134003043000
61153050340003320
762562212216430
oct11020406000000
92170101427043
10620691456000
1121a263166760
12a0364390540
13466b96725b5
142208231c2c0
151122b66e850
hex9084180000

620691456000 has 1280 divisors, whose sum is σ = 2638181145600. Its totient is φ = 125829120000.

The previous prime is 620691455987. The next prime is 620691456019. The reversal of 620691456000 is 654196026.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 620691456000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15138815980 + ... + 15138816020.

It is an arithmetic number, because the mean of its divisors is an integer number (2061079020).

Almost surely, 2620691456000 is an apocalyptic number.

620691456000 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 620691456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319090572800).

620691456000 is an abundant number, since it is smaller than the sum of its proper divisors (2017489689600).

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

620691456000 is an frugal number, since it uses more digits than its factorization.

620691456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 620691456000 in words is "six hundred twenty billion, six hundred ninety-one million, four hundred fifty-six thousand".