Search a number
-
+
325490303634496 = 2671121317311078191
BaseRepresentation
bin100101000000010000001110…
…1111011010000110001000000
31120200110120100220022112021021
41022000200131323100301000
5320130313120212300441
63112132103051235224
7125362620103426360
oct11200403573206100
91520416326275237
10325490303634496
1194790731983600
123060a250148b14
1310c807b0ab15a0
145a53b599789a0
152796b3a6673d1
hex128081ded0c40

325490303634496 has 1344 divisors, whose sum is σ = 964072216461312. Its totient is φ = 105610272768000.

The previous prime is 325490303634401. The next prime is 325490303634541. The reversal of 325490303634496 is 694436303094523.

It is a super-2 number, since 2×3254903036344962 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39737549761 + ... + 39737557951.

It is an arithmetic number, because the mean of its divisors is an integer number (717315637248).

Almost surely, 2325490303634496 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 325490303634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482036108230656).

325490303634496 is an abundant number, since it is smaller than the sum of its proper divisors (638581912826816).

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

325490303634496 is a wasteful number, since it uses less digits than its factorization.

325490303634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 61.

The spelling of 325490303634496 in words is "three hundred twenty-five trillion, four hundred ninety billion, three hundred three million, six hundred thirty-four thousand, four hundred ninety-six".