Search a number
-
+
100804284960804 = 22322800119026689
BaseRepresentation
bin10110111010111001010011…
…100110001101000000100100
3111012220210110221100211110100
4112322321103212031000210
5101203034133422221204
6554220503232424100
730142604103412335
oct2672712346150044
9435823427324410
10100804284960804
112a134947997397
12b3806670a8030
134432a59a77689
141ac6d4c2a828c
15b9c23dd74a39
hex5bae5398d024

100804284960804 has 18 divisors (see below), whose sum is σ = 254810831428790. Its totient is φ = 33601428320256.

The previous prime is 100804284960737. The next prime is 100804284960811. The reversal of 100804284960804 is 408069482408001.

It is a happy number.

100804284960804 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 4 + 28 + 4 + 9 + 608 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100428417874404 + 375867086400 = 10021398^2 + 613080^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1400059513309 + ... + 1400059513380.

Almost surely, 2100804284960804 is an apocalyptic number.

It is an amenable number.

100804284960804 is an abundant number, since it is smaller than the sum of its proper divisors (154006546467986).

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

100804284960804 is a wasteful number, since it uses less digits than its factorization.

100804284960804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800119026699 (or 2800119026694 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 100804284960804 in words is "one hundred trillion, eight hundred four billion, two hundred eighty-four million, nine hundred sixty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 2800119026689 5600238053378 8400357080067 11200476106756 16800714160134 25201071240201 33601428320268 50402142480402 100804284960804