Search a number
-
+
2375816902272 = 2732112293118959
BaseRepresentation
bin100010100100101001101…
…110001111011010000000
322102010101202122120101200
4202210221232033122000
5302411133111333042
65015234001301200
7333434646316002
oct42445156173200
98363352576350
102375816902272
1183663a781a00
12324548334800
13143066989518
1482dc0d94372
1541c017b8c4c
hex22929b8f680

2375816902272 has 576 divisors, whose sum is σ = 8024994432000. Its totient is φ = 672660172800.

The previous prime is 2375816902253. The next prime is 2375816902289. The reversal of 2375816902272 is 2722096185732.

2375816902272 is a `hidden beast` number, since 2 + 37 + 581 + 6 + 9 + 0 + 2 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125303929 + ... + 125322887.

It is an arithmetic number, because the mean of its divisors is an integer number (13932282000).

Almost surely, 22375816902272 is an apocalyptic number.

2375816902272 is a gapful number since it is divisible by the number (22) 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 2375816902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012497216000).

2375816902272 is an abundant number, since it is smaller than the sum of its proper divisors (5649177529728).

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

2375816902272 is a wasteful number, since it uses less digits than its factorization.

2375816902272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19061 (or 19035 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2375816902272 in words is "two trillion, three hundred seventy-five billion, eight hundred sixteen million, nine hundred two thousand, two hundred seventy-two".