Search a number
-
+
30708931566096 = 24327237217832
BaseRepresentation
bin1101111101101111110101…
…11101010001101000010000
311000201202010020111201120100
412332313322331101220100
513011113342440103341
6145151253255012400
76316434644312100
oct676677275215020
9130652106451510
1030708931566096
11986a64831a533
12353b71b06a100
131419abc118734
1478246a971200
15383c230413b6
hex1bedfaf51a10

30708931566096 has 405 divisors, whose sum is σ = 102806441991981. Its totient is φ = 8532057929472.

The previous prime is 30708931566091. The next prime is 30708931566191. The reversal of 30708931566096 is 69066513980703.

The square root of 30708931566096 is 5541564.

It is a perfect power (a square), and thus also a powerful number.

30708931566096 is a `hidden beast` number, since 3 + 0 + 7 + 0 + 8 + 9 + 3 + 15 + 6 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27478773680400 + 3230157885696 = 5242020^2 + 1797264^2 .

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 (30708931566091) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17223180021 + ... + 17223181803.

Almost surely, 230708931566096 is an apocalyptic number.

30708931566096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30708931566096 is the 5541564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30708931566096

30708931566096 is an abundant number, since it is smaller than the sum of its proper divisors (72097510425885).

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

30708931566096 is an equidigital number, since it uses as much as digits as its factorization.

30708931566096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 30708931566096 in words is "thirty trillion, seven hundred eight billion, nine hundred thirty-one million, five hundred sixty-six thousand, ninety-six".