Search a number
-
+
629320196736 = 273271122433163
BaseRepresentation
bin10010010100001100110…
…10000010001010000000
32020011101101222101002200
421022012122002022000
540302321432243421
61201034455513200
763316066261110
oct11120632021200
92204341871080
10629320196736
11222990932350
12a1b72088800
134746323504a
14226602d1040
1511583e63726
hex9286682280

629320196736 has 384 divisors, whose sum is σ = 2259509091840. Its totient is φ = 163335260160.

The previous prime is 629320196699. The next prime is 629320196741. The reversal of 629320196736 is 637691023926.

629320196736 is a `hidden beast` number, since 62 + 9 + 320 + 196 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198961491 + ... + 198964653.

It is an arithmetic number, because the mean of its divisors is an integer number (5884138260).

Almost surely, 2629320196736 is an apocalyptic number.

629320196736 is a gapful number since it is divisible by the number (66) 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 629320196736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129754545920).

629320196736 is an abundant number, since it is smaller than the sum of its proper divisors (1630188895104).

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

629320196736 is a wasteful number, since it uses less digits than its factorization.

629320196736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 629320196736 in words is "six hundred twenty-nine billion, three hundred twenty million, one hundred ninety-six thousand, seven hundred thirty-six".