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634260148368 = 2437112192413407
BaseRepresentation
bin10010011101011001101…
…10011101000010010000
32020122010200100220210020
421032230312131002100
540342431044221433
61203213004103440
763552362210340
oct11165466350220
92218120326706
10634260148368
11224a96356100
12a2b10534b80
1347a6c7ca952
14229ac400d20
15117729a7cb3
hex93acd9d090

634260148368 has 480 divisors, whose sum is σ = 2176247377920. Its totient is φ = 155378995200.

The previous prime is 634260148363. The next prime is 634260148373. The reversal of 634260148368 is 863841062436.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (634260148363) and next prime (634260148373).

It is a self number, because there is not a number n which added to its sum of digits gives 634260148368.

It is not an unprimeable number, because it can be changed into a prime (634260148363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186162121 + ... + 186165527.

It is an arithmetic number, because the mean of its divisors is an integer number (4533848704).

Almost surely, 2634260148368 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 634260148368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088123688960).

634260148368 is an abundant number, since it is smaller than the sum of its proper divisors (1541987229552).

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

634260148368 is a wasteful number, since it uses less digits than its factorization.

634260148368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 634260148368 in words is "six hundred thirty-four billion, two hundred sixty million, one hundred forty-eight thousand, three hundred sixty-eight".