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2919426048 = 21132711317
BaseRepresentation
bin1010111000000010…
…1110100000000000
321112110102012122200
42232000232200000
521434333113143
61201405233200
7132226466130
oct25600564000
97473365580
102919426048
111268a38000
12695862800
13376ab2b46
141d9a30ac0
1512147a1d3
hexae02e800

2919426048 has 576 divisors, whose sum is σ = 11222789760. Its totient is φ = 713687040.

The previous prime is 2919426043. The next prime is 2919426071. The reversal of 2919426048 is 8406249192.

2919426048 is a `hidden beast` number, since 29 + 19 + 4 + 2 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2919425994 and 2919426012.

It is not an unprimeable number, because it can be changed into a prime (2919426043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171730936 + ... + 171730952.

It is an arithmetic number, because the mean of its divisors is an integer number (19484010).

Almost surely, 22919426048 is an apocalyptic number.

2919426048 is a gapful number since it is divisible by the number (28) 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 2919426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611394880).

2919426048 is an abundant number, since it is smaller than the sum of its proper divisors (8303363712).

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

2919426048 is a wasteful number, since it uses less digits than its factorization.

2919426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2919426048 is about 54031.7133542885. The cubic root of 2919426048 is about 1429.2202455020.

The spelling of 2919426048 in words is "two billion, nine hundred nineteen million, four hundred twenty-six thousand, forty-eight".