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13861870848 = 283107131
BaseRepresentation
bin11001110100011101…
…10101110100000000
31022210001120000000000
430322032311310000
5211342114331343
610211300000000
71000336646430
oct147216656400
938701500000
1013861870848
115973734811
12282a390000
1313cbb08257
14956ddc2c0
15561e4aed3
hex33a3b5d00

13861870848 has 396 divisors, whose sum is σ = 47795407968. Its totient is φ = 3930301440.

The previous prime is 13861870837. The next prime is 13861870861. The reversal of 13861870848 is 84807816831.

It is a happy number.

13861870848 is a `hidden beast` number, since 1 + 386 + 187 + 0 + 84 + 8 = 666.

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 = 13861870794 and 13861870803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 105815743 + ... + 105815873.

Almost surely, 213861870848 is an apocalyptic number.

13861870848 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 13861870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23897703984).

13861870848 is an abundant number, since it is smaller than the sum of its proper divisors (33933537120).

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

13861870848 is an frugal number, since it uses more digits than its factorization.

13861870848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 13861870848 in words is "thirteen billion, eight hundred sixty-one million, eight hundred seventy thousand, eight hundred forty-eight".