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461600161460056 = 234115193711098969
BaseRepresentation
bin110100011110100101010100…
…1101001101110111101011000
32020112101112200220202010122101
41220331022221221232331120
5441000324112313210211
64313424104154533144
7166141340213025133
oct15075125151567530
92215345626663571
10461600161460056
11124097590286553
12439312541371b4
1316a74929604468
1481db7d1c9b21a
15385742d55a5c1
hex1a3d2a9a6ef58

461600161460056 has 128 divisors (see below), whose sum is σ = 894339469296000. Its totient is φ = 223214524416000.

The previous prime is 461600161460041. The next prime is 461600161460069. The reversal of 461600161460056 is 650064161006164.

It is a junction number, because it is equal to n+sod(n) for n = 461600161459988 and 461600161460015.

It is a congruent number.

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, 51466174740 + ... + 51466183708.

It is an arithmetic number, because the mean of its divisors is an integer number (6987027103875).

Almost surely, 2461600161460056 is an apocalyptic number.

It is an amenable number.

461600161460056 is a deficient number, since it is larger than the sum of its proper divisors (432739307835944).

461600161460056 is a wasteful number, since it uses less digits than its factorization.

461600161460056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11209 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 461600161460056 in words is "four hundred sixty-one trillion, six hundred billion, one hundred sixty-one million, four hundred sixty thousand, fifty-six".

Divisors: 1 2 4 8 41 82 151 164 302 328 604 937 1109 1208 1874 2218 3748 4436 6191 7496 8872 8969 12382 17938 24764 35876 38417 45469 49528 71752 76834 90938 141487 153668 167459 181876 282974 307336 334918 363752 367729 565948 669836 735458 1039133 1131896 1339672 1354319 1470916 2078266 2708638 2941832 4156532 5417276 5800967 6865819 8313064 8403953 9946621 10834552 11601934 13731638 16807906 19893242 23203868 27463276 33615812 39786484 42604453 46407736 54926552 55527079 67231624 79572968 85208906 111054158 156909083 170417812 222108316 313818166 340835624 344562073 407811461 444216632 627636332 689124146 815622922 1255272664 1268996903 1378248292 1501939771 1631245844 2537993806 2756496584 3003879542 3262491688 5075987612 6007759084 6433272403 9319983877 10151975224 12015518168 12866544806 18639967754 25733089612 37279935508 51466179224 52028873023 61579530611 74559871016 104057746046 123159061222 208115492092 246318122444 382119338957 416230984184 492636244888 764238677914 1407317565427 1528477355828 2814635130854 3056954711656 5629270261708 11258540523416 57700020182507 115400040365014 230800080730028 461600161460056