Search a number
-
+
990716960999808 = 27327246138071511
BaseRepresentation
bin1110000101000011010100010…
…0100010001000100110000000
311210220211121122102112111110200
43201100311010202020212000
52014323401314003443213
613431025031100525200
7415451636601510600
oct34120650442104600
94726747572474420
10990716960999808
11267744781601429
1293147701850800
13336a6293255a53
1413690d574d8c00
157980c4d4d2273
hex3850d44888980

990716960999808 has 288 divisors, whose sum is σ = 3323536778081520. Its totient is φ = 282447964108800.

The previous prime is 990716960999807. The next prime is 990716960999833. The reversal of 990716960999808 is 808999069617099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990716960999807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6986773 + ... + 45058283.

Almost surely, 2990716960999808 is an apocalyptic number.

990716960999808 is a gapful number since it is divisible by the number (98) 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 990716960999808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661768389040760).

990716960999808 is an abundant number, since it is smaller than the sum of its proper divisors (2332819817081712).

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

990716960999808 is a wasteful number, since it uses less digits than its factorization.

990716960999808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38072006 (or 38071984 counting only the distinct ones).

The product of its (nonzero) digits is 8571080448, while the sum is 90.

The spelling of 990716960999808 in words is "nine hundred ninety trillion, seven hundred sixteen billion, nine hundred sixty million, nine hundred ninety-nine thousand, eight hundred eight".