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348655890000 = 243541117193271
BaseRepresentation
bin1010001001011011000…
…00101010111001010000
31020022221102120100002010
411010231200222321100
521203021401440000
6424100441422520
734122006111135
oct5045540527120
91208842510063
10348655890000
11124956184640
12576a419aa40
1326b5528b172
1412c3714c58c
15910904dd50
hex512d82ae50

348655890000 has 800 divisors, whose sum is σ = 1368893813760. Its totient is φ = 75340800000.

The previous prime is 348655889993. The next prime is 348655890083. The reversal of 348655890000 is 98556843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 106588365 + ... + 106591635.

Almost surely, 2348655890000 is an apocalyptic number.

348655890000 is a gapful number since it is divisible by the number (30) 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 348655890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684446906880).

348655890000 is an abundant number, since it is smaller than the sum of its proper divisors (1020237923760).

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

348655890000 is a wasteful number, since it uses less digits than its factorization.

348655890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 348655890000 in words is "three hundred forty-eight billion, six hundred fifty-five million, eight hundred ninety thousand".