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2994957504 = 26357114161
BaseRepresentation
bin1011001010000011…
…0110110011000000
321201201112121100000
42302200312303000
522113202120004
61213104200000
7134134501350
oct26240666300
97651477300
102994957504
1112a76369a0
126b7009000
1338963a306
14205a92b60
15127de9c39
hexb2836cc0

2994957504 has 672 divisors, whose sum is σ = 11556260352. Its totient is φ = 746496000.

The previous prime is 2994957503. The next prime is 2994957509. The reversal of 2994957504 is 4057594992.

2994957504 is a `hidden beast` number, since 2 + 99 + 49 + 5 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994957503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49097634 + ... + 49097694.

It is an arithmetic number, because the mean of its divisors is an integer number (17196816).

Almost surely, 22994957504 is an apocalyptic number.

2994957504 is a gapful number since it is divisible by the number (24) 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 2994957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778130176).

2994957504 is an abundant number, since it is smaller than the sum of its proper divisors (8561302848).

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

2994957504 is a wasteful number, since it uses less digits than its factorization.

2994957504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 2994957504 is about 54726.2049113585. The cubic root of 2994957504 is about 1441.4410574034.

The spelling of 2994957504 in words is "two billion, nine hundred ninety-four million, nine hundred fifty-seven thousand, five hundred four".