Search a number
-
+
2947274012520 = 23365178117331
BaseRepresentation
bin101010111000110111001…
…110000111011101101000
3101102202102121000121000000
4222320313032013131220
5341242004121400040
610133543050343000
7422635124521005
oct52706716073550
911382377017000
102947274012520
11a36a28387a12
123b725012aa60
13184c080a7c46
14a291252a8ac
15519ea8d4130
hex2ae37387768

2947274012520 has 448 divisors, whose sum is σ = 10541773045440. Its totient is φ = 738695116800.

The previous prime is 2947274012519. The next prime is 2947274012567. The reversal of 2947274012520 is 252104727492.

2947274012520 is a `hidden beast` number, since 2 + 9 + 4 + 72 + 7 + 40 + 12 + 520 = 666.

It is a super-2 number, since 2×29472740125202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 402025255 + ... + 402032585.

It is an arithmetic number, because the mean of its divisors is an integer number (23530743405).

Almost surely, 22947274012520 is an apocalyptic number.

2947274012520 is a gapful number since it is divisible by the number (20) 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 2947274012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270886522720).

2947274012520 is an abundant number, since it is smaller than the sum of its proper divisors (7594499032920).

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

2947274012520 is a wasteful number, since it uses less digits than its factorization.

2947274012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2947274012520 in words is "two trillion, nine hundred forty-seven billion, two hundred seventy-four million, twelve thousand, five hundred twenty".