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1490838104448 = 273271119884573
BaseRepresentation
bin10101101100011100111…
…000000010100110000000
312021112010001220121202200
4111230130320002212000
5143411214023320243
63100514230313200
7212465233541550
oct25543470024600
95245101817680
101490838104448
11525296275690
12200b267b8800
13aa77c260b34
145222a951160
1528ba7d8dad3
hex15b1ce02980

1490838104448 has 384 divisors, whose sum is σ = 5630136595200. Its totient is φ = 366849699840.

The previous prime is 1490838104401. The next prime is 1490838104461. The reversal of 1490838104448 is 8444018380941.

1490838104448 is a `hidden beast` number, since 1 + 4 + 90 + 8 + 3 + 8 + 104 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1490838104394 and 1490838104403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243090 + ... + 2127662.

It is an arithmetic number, because the mean of its divisors is an integer number (14661814050).

Almost surely, 21490838104448 is an apocalyptic number.

1490838104448 is a gapful number since it is divisible by the number (18) 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 1490838104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815068297600).

1490838104448 is an abundant number, since it is smaller than the sum of its proper divisors (4139298490752).

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

1490838104448 is a wasteful number, since it uses less digits than its factorization.

1490838104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884630 (or 884615 counting only the distinct ones).

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

The spelling of 1490838104448 in words is "one trillion, four hundred ninety billion, eight hundred thirty-eight million, one hundred four thousand, four hundred forty-eight".