Search a number
-
+
326990320360704 = 283372112131813391
BaseRepresentation
bin100101001011001010101110…
…1111000111101110100000000
31120212202222011122102110001000
41022112111131320331310000
5320324402134003020304
63115241140203412000
7125606161652300400
oct11226253570756400
91525688148373030
10326990320360704
11952098a8250600
1230810ab8824000
131105c093803150
145aa65b751a800
1527c0b7e217939
hex129655de3dd00

326990320360704 has 2592 divisors, whose sum is σ = 1339253084682240. Its totient is φ = 77943140352000.

The previous prime is 326990320360667. The next prime is 326990320360723. The reversal of 326990320360704 is 407063023099623.

326990320360704 is a `hidden beast` number, since 3 + 2 + 6 + 9 + 9 + 0 + 3 + 20 + 3 + 607 + 0 + 4 = 666.

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 287 ways as a sum of consecutive naturals, for example, 96428874849 + ... + 96428878239.

Almost surely, 2326990320360704 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 326990320360704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669626542341120).

326990320360704 is an abundant number, since it is smaller than the sum of its proper divisors (1012262764321536).

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

326990320360704 is a wasteful number, since it uses less digits than its factorization.

326990320360704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 326990320360704 in words is "three hundred twenty-six trillion, nine hundred ninety billion, three hundred twenty million, three hundred sixty thousand, seven hundred four".