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1649341202376 = 23371721947109349
BaseRepresentation
bin11000000000000100011…
…001010111111111001000
312211200020102110021011010
4120000010121113333020
5204010322321434001
63301410310003520
7230106132622020
oct30000431277710
95750212407133
101649341202376
1158653312409a
122277a10465a0
13bc6bc35158a
1459b8572aa80
152cd831e48d6
hex18004657fc8

1649341202376 has 768 divisors, whose sum is σ = 5446425600000. Its totient is φ = 406296870912.

The previous prime is 1649341202371. The next prime is 1649341202429. The reversal of 1649341202376 is 6732021439461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1649341202371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4725905850 + ... + 4725906198.

It is an arithmetic number, because the mean of its divisors is an integer number (7091700000).

Almost surely, 21649341202376 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 1649341202376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723212800000).

1649341202376 is an abundant number, since it is smaller than the sum of its proper divisors (3797084397624).

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

1649341202376 is a wasteful number, since it uses less digits than its factorization.

1649341202376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 1649341202376 in words is "one trillion, six hundred forty-nine billion, three hundred forty-one million, two hundred two thousand, three hundred seventy-six".