Search a number
-
+
2107457466024 = 2333110193277897
BaseRepresentation
bin11110101010101110010…
…000001110111010101000
321110110201100000201102010
4132222232100032322220
5234012033102403044
64252052543235520
7305154521616021
oct36525620167250
97413640021363
102107457466024
11742849886549
122a05332a8ba0
1312396a08bab1
147400410dc48
1539c46c96bb9
hex1eaae40eea8

2107457466024 has 64 divisors (see below), whose sum is σ = 5439153047040. Its totient is φ = 679755847680.

The previous prime is 2107457466007. The next prime is 2107457466043. The reversal of 2107457466024 is 4206647547012.

It is a super-2 number, since 2×21074574660242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7444644 + ... + 7722540.

It is an arithmetic number, because the mean of its divisors is an integer number (84986766360).

Almost surely, 22107457466024 is an apocalyptic number.

2107457466024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2107457466024 is an abundant number, since it is smaller than the sum of its proper divisors (3331695581016).

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

2107457466024 is a wasteful number, since it uses less digits than its factorization.

2107457466024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288130 (or 288126 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 2107457466024 in words is "two trillion, one hundred seven billion, four hundred fifty-seven million, four hundred sixty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 10193 20386 30579 40772 61158 81544 122316 244632 277897 315983 555794 631966 833691 947949 1111588 1263932 1667382 1895898 2223176 2527864 3334764 3791796 6669528 7583592 8614807 17229614 25844421 34459228 51688842 68918456 103377684 206755368 2832604121 5665208242 8497812363 11330416484 16995624726 22660832968 33991249452 67982498904 87810727751 175621455502 263432183253 351242911004 526864366506 702485822008 1053728733012 2107457466024