Search a number
-
+
19631074915872 = 253377364369151
BaseRepresentation
bin1000111011010101101110…
…01111110011011000100000
32120111201020100211102102000
410131222313033303120200
510033113420134301442
6105430220305124000
74064204223400140
oct435526717633040
976451210742360
1019631074915872
1162895460109a2
122250773329600
13ac5282947ba4
144bc213192920
152409b1644d4c
hex11dab73f3620

19631074915872 has 384 divisors, whose sum is σ = 66437435473920. Its totient is φ = 5523361228800.

The previous prime is 19631074915861. The next prime is 19631074915873. The reversal of 19631074915872 is 27851947013691.

19631074915872 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 1 + 0 + 7 + 49 + 1 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (19631074915873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283852497 + ... + 283921647.

It is an arithmetic number, because the mean of its divisors is an integer number (173014154880).

It is a 1-persistent number, because it is pandigital, but 2⋅19631074915872 = 39262149831744 is not.

Almost surely, 219631074915872 is an apocalyptic number.

19631074915872 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 19631074915872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218717736960).

19631074915872 is an abundant number, since it is smaller than the sum of its proper divisors (46806360558048).

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

19631074915872 is a wasteful number, since it uses less digits than its factorization.

19631074915872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69893 (or 69879 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 19631074915872 in words is "nineteen trillion, six hundred thirty-one billion, seventy-four million, nine hundred fifteen thousand, eight hundred seventy-two".