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107852812848 = 2435112986959
BaseRepresentation
bin110010001110010000…
…1110101001000110000
3101022101110002120100000
41210130201311020300
53231340310002343
6121314044030000
710535456532414
oct1443441651060
9338343076300
10107852812848
1141816112680
1218a9b832300
13a22a6ca071
145311d72d44
152c1385ded3
hex191c875230

107852812848 has 240 divisors, whose sum is σ = 353252390400. Its totient is φ = 31555319040.

The previous prime is 107852812829. The next prime is 107852812867. The reversal of 107852812848 is 848218258701.

It is a happy number.

107852812848 is a `hidden beast` number, since 1 + 0 + 7 + 85 + 281 + 284 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (107852812829) and next prime (107852812867).

It is a super-2 number, since 2×1078528128482 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107852812794 and 107852812803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196793 + ... + 1283751.

It is an arithmetic number, because the mean of its divisors is an integer number (1471884960).

Almost surely, 2107852812848 is an apocalyptic number.

107852812848 is a gapful number since it is divisible by the number (18) 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 107852812848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176626195200).

107852812848 is an abundant number, since it is smaller than the sum of its proper divisors (245399577552).

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

107852812848 is a wasteful number, since it uses less digits than its factorization.

107852812848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87022 (or 87004 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 107852812848 in words is "one hundred seven billion, eight hundred fifty-two million, eight hundred twelve thousand, eight hundred forty-eight".