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13862350848 = 212331151241
BaseRepresentation
bin11001110100100001…
…01011000000000000
31022210002110101102210
430322100223000000
5211342230211343
610211314142120
71000344016023
oct147220530000
938702411383
1013862350848
115973a32405
12282a581940
1313cbc45888
149570c51ba
15561ee3333
hex33a42b000

13862350848 has 208 divisors, whose sum is σ = 38566111232. Its totient is φ = 4423680000.

The previous prime is 13862350781. The next prime is 13862350849. The reversal of 13862350848 is 84805326831.

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

It is a junction number, because it is equal to n+sod(n) for n = 13862350797 and 13862350806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13862350849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57520008 + ... + 57520248.

Almost surely, 213862350848 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 13862350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19283055616).

13862350848 is an abundant number, since it is smaller than the sum of its proper divisors (24703760384).

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

13862350848 is a wasteful number, since it uses less digits than its factorization.

13862350848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 13862350848 in words is "thirteen billion, eight hundred sixty-two million, three hundred fifty thousand, eight hundred forty-eight".