Search a number
-
+
2490610428468 = 2233374713796797
BaseRepresentation
bin100100001111100011111…
…100110010101000110100
322211002200220220220112000
4210033203330302220310
5311301232232202333
65144100505055300
7344640435224331
oct44174374625064
98732626826460
102490610428468
11880297725208
12342844487530
13150b2c302156
1488790a4d988
1544bbe630713
hex243e3f32a34

2490610428468 has 192 divisors, whose sum is σ = 6822261089280. Its totient is φ = 784800285696.

The previous prime is 2490610428451. The next prime is 2490610428511. The reversal of 2490610428468 is 8648240160942.

It is a happy number.

2490610428468 is a `hidden beast` number, since 2 + 490 + 6 + 10 + 4 + 2 + 84 + 68 = 666.

2490610428468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25681846 + ... + 25778642.

It is an arithmetic number, because the mean of its divisors is an integer number (35532609840).

Almost surely, 22490610428468 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 2490610428468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411130544640).

2490610428468 is an abundant number, since it is smaller than the sum of its proper divisors (4331650660812).

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

2490610428468 is a wasteful number, since it uses less digits than its factorization.

2490610428468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97031 (or 97023 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2490610428468 in words is "two trillion, four hundred ninety billion, six hundred ten million, four hundred twenty-eight thousand, four hundred sixty-eight".