Search a number
-
+
797337609984 = 28331723312307
BaseRepresentation
bin10111001101001010000…
…01100110011100000000
32211020001211101022111000
423212211001212130000
5101030421412004414
61410143012052000
7111414524601006
oct13464501463400
92736054338430
10797337609984
11288170326773
1210a642904000
135a25b500976
142a83c922a76
1515b196dab09
hexb9a5066700

797337609984 has 864 divisors, whose sum is σ = 2700626987520. Its totient is φ = 230796656640.

The previous prime is 797337609979. The next prime is 797337610033. The reversal of 797337609984 is 489906733797.

797337609984 is a `hidden beast` number, since 7 + 9 + 7 + 3 + 3 + 7 + 609 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 2597190759 + ... + 2597191065.

It is an arithmetic number, because the mean of its divisors is an integer number (3125725680).

Almost surely, 2797337609984 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 797337609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350313493760).

797337609984 is an abundant number, since it is smaller than the sum of its proper divisors (1903289377536).

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

797337609984 is a wasteful number, since it uses less digits than its factorization.

797337609984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 797337609984 in words is "seven hundred ninety-seven billion, three hundred thirty-seven million, six hundred nine thousand, nine hundred eighty-four".