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1113948243672 = 23311231120110303
BaseRepresentation
bin10000001101011100011…
…111010100011011011000
310221111021222010221222020
4100031130133110123120
5121222331222244142
62211424000454440
7143323450561665
oct20153437243330
93844258127866
101113948243672
1139a471819a00
1215ba8301a420
13810777654b4
143bcb5b4aa6c
151de9a2adcec
hex1035c7d46d8

1113948243672 has 192 divisors, whose sum is σ = 3162737786880. Its totient is φ = 326367360000.

The previous prime is 1113948243671. The next prime is 1113948243673. The reversal of 1113948243672 is 2763428493111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1113948243671) and next prime (1113948243673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113948243671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108113673 + ... + 108123975.

It is an arithmetic number, because the mean of its divisors is an integer number (16472592640).

Almost surely, 21113948243672 is an apocalyptic number.

1113948243672 is a gapful number since it is divisible by the number (12) 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 1113948243672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581368893440).

1113948243672 is an abundant number, since it is smaller than the sum of its proper divisors (2048789543208).

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

1113948243672 is a wasteful number, since it uses less digits than its factorization.

1113948243672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11551 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 1113948243672 in words is "one trillion, one hundred thirteen billion, nine hundred forty-eight million, two hundred forty-three thousand, six hundred seventy-two".