Search a number
-
+
2986791071904 = 253361351116141
BaseRepresentation
bin101011011101101010100…
…111101111000010100000
3101120112102121100012112000
4223131222213233002200
5342413422003300104
610204040214204000
7425534316135453
oct53355247570240
911515377305460
102986791071904
11a51766770582
12402a3a353600
13188865099213
14a47c090349a
1552a5ecc2639
hex2b76a9ef0a0

2986791071904 has 192 divisors, whose sum is σ = 8857355592960. Its totient is φ = 978936192000.

The previous prime is 2986791071897. The next prime is 2986791071911. The reversal of 2986791071904 is 4091701976892.

It is an interprime number because it is at equal distance from previous prime (2986791071897) and next prime (2986791071911).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185035674 + ... + 185051814.

It is an arithmetic number, because the mean of its divisors is an integer number (46132060380).

Almost surely, 22986791071904 is an apocalyptic number.

2986791071904 is a gapful number since it is divisible by the number (24) 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 2986791071904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428677796480).

2986791071904 is an abundant number, since it is smaller than the sum of its proper divisors (5870564521056).

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

2986791071904 is a wasteful number, since it uses less digits than its factorization.

2986791071904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19732 (or 19718 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 2986791071904 in words is "two trillion, nine hundred eighty-six billion, seven hundred ninety-one million, seventy-one thousand, nine hundred four".