Search a number
-
+
796142440620 = 223553761181401
BaseRepresentation
bin10111001010111011100…
…10011001000010101100
32211002222112110102100000
423211131302121002230
5101020444431044440
61405424235304300
7111343103042142
oct13453562310254
92732875412300
10796142440620
1128770771a29a
1210a36a5ab090
135a0caa0b167
142a767ccd592
1515a99806730
hexb95dc990ac

796142440620 has 576 divisors, whose sum is σ = 2635259582592. Its totient is φ = 201553920000.

The previous prime is 796142440591. The next prime is 796142440637. The reversal of 796142440620 is 26044241697.

796142440620 is a `hidden beast` number, since 7 + 9 + 6 + 14 + 2 + 4 + 4 + 0 + 620 = 666.

796142440620 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1985392420 + ... + 1985392820.

It is an arithmetic number, because the mean of its divisors is an integer number (4575103442).

Almost surely, 2796142440620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796142440620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317629791296).

796142440620 is an abundant number, since it is smaller than the sum of its proper divisors (1839117141972).

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

796142440620 is a wasteful number, since it uses less digits than its factorization.

796142440620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 796142440620 in words is "seven hundred ninety-six billion, one hundred forty-two million, four hundred forty thousand, six hundred twenty".