Search a number
-
+
30931063961850 = 233521373311512089
BaseRepresentation
bin1110000100001101100110…
…00101000111100011111010
311001111222111000210121101000
413002012303011013203322
513023233304333234400
6145441311251105430
76341460412444203
oct702066305074372
9131458430717330
1030931063961850
119945877265198
1235767928a2276
131434a2c833970
1478d1002185aa
153898c4547600
hex1c21b31478fa

30931063961850 has 384 divisors, whose sum is σ = 92037709209600. Its totient is φ = 7593170688000.

The previous prime is 30931063961813. The next prime is 30931063961851. The reversal of 30931063961850 is 5816936013903.

30931063961850 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 10 + 6 + 3 + 9 + 618 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (30931063961851) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14806635606 + ... + 14806637694.

It is an arithmetic number, because the mean of its divisors is an integer number (239681534400).

Almost surely, 230931063961850 is an apocalyptic number.

30931063961850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30931063961850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46018854604800).

30931063961850 is an abundant number, since it is smaller than the sum of its proper divisors (61106645247750).

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

30931063961850 is a wasteful number, since it uses less digits than its factorization.

30931063961850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 30931063961850 in words is "thirty trillion, nine hundred thirty-one billion, sixty-three million, nine hundred sixty-one thousand, eight hundred fifty".