Search a number
-
+
2466455254146 = 235131648123687
BaseRepresentation
bin100011111001000100001…
…100000111010010000010
322201210100111200220200000
4203321010030013102002
5310402300021113041
65125023543540430
7343124026513512
oct43710414072202
98653314626600
102466455254146
11871021766224
1233a022a5a716
1314b77cb149b0
148753c97d842
1544258bdbbb6
hex23e44307482

2466455254146 has 96 divisors (see below), whose sum is σ = 5968826817408. Its totient is φ = 758831224320.

The previous prime is 2466455254141. The next prime is 2466455254147. The reversal of 2466455254146 is 6414525546642.

2466455254146 is a `hidden beast` number, since 2 + 4 + 6 + 6 + 4 + 5 + 52 + 541 + 46 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2466455254092 and 2466455254101.

It is not an unprimeable number, because it can be changed into a prime (2466455254141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104115115 + ... + 104138801.

It is an arithmetic number, because the mean of its divisors is an integer number (62175279348).

Almost surely, 22466455254146 is an apocalyptic number.

2466455254146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2466455254146 is an abundant number, since it is smaller than the sum of its proper divisors (3502371563262).

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

2466455254146 is a wasteful number, since it uses less digits than its factorization.

2466455254146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40198 (or 40186 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 2466455254146 in words is "two trillion, four hundred sixty-six billion, four hundred fifty-five million, two hundred fifty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 16481 23687 32962 47374 49443 71061 98886 142122 148329 213183 214253 296658 307931 426366 428506 444987 615862 639549 642759 889974 923793 1279098 1285518 1334961 1847586 1918647 1928277 2669922 2771379 3837294 3856554 4004883 5542758 5755941 5784831 8009766 8314137 11511882 11569662 16628274 17354493 24942411 34708986 49884822 52063479 74827233 104126958 149654466 390385447 780770894 1171156341 2342312682 3513469023 5075010811 7026938046 10150021622 10540407069 15225032433 21080814138 30450064866 31621221207 45675097299 63242442414 91350194598 94863663621 137025291897 189727327242 274050583794 411075875691 822151751382 1233227627073 2466455254146