Search a number
-
+
980268672000 = 210353192941113
BaseRepresentation
bin11100100001111001001…
…00001110010000000000
310110201020121110002221010
432100330210032100000
5112030042240001000
62030155035400520
7130551654142302
oct16207444162000
93421217402833
10980268672000
11348803123152
12139b95bb3140
1371592470427
1435633adb972
151a7743bbd50
hexe43c90e400

980268672000 has 1408 divisors, whose sum is σ = 3669507878400. Its totient is φ = 231211008000.

The previous prime is 980268671947. The next prime is 980268672011. The reversal of 980268672000 is 276862089.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8674943944 + ... + 8674944056.

Almost surely, 2980268672000 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 980268672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834753939200).

980268672000 is an abundant number, since it is smaller than the sum of its proper divisors (2689239206400).

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

980268672000 is a wasteful number, since it uses less digits than its factorization.

980268672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 980268672000 in words is "nine hundred eighty billion, two hundred sixty-eight million, six hundred seventy-two thousand".