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2293268823048 = 233734171831153
BaseRepresentation
bin100001010111110001011…
…110010011110000001000
322010020022211212122211010
4201113301132103300020
5300033103304314143
64513302501403520
7324453224241000
oct41276136236010
98106284778733
102293268823048
1180462a513225
1231054b1095a0
1313833c990228
147cdcda51000
153e9be773a33
hex215f1793c08

2293268823048 has 512 divisors, whose sum is σ = 7035227136000. Its totient is φ = 622102118400.

The previous prime is 2293268823017. The next prime is 2293268823143. The reversal of 2293268823048 is 8403288623922.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1988957640 + ... + 1988958792.

It is an arithmetic number, because the mean of its divisors is an integer number (13740678000).

Almost surely, 22293268823048 is an apocalyptic number.

2293268823048 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 2293268823048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517613568000).

2293268823048 is an abundant number, since it is smaller than the sum of its proper divisors (4741958312952).

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

2293268823048 is a wasteful number, since it uses less digits than its factorization.

2293268823048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 2293268823048 in words is "two trillion, two hundred ninety-three billion, two hundred sixty-eight million, eight hundred twenty-three thousand, forty-eight".