Search a number
-
+
20416403664162 = 2321137286387277
BaseRepresentation
bin1001010010001100100000…
…11111001110110100100010
32200021210022021102100120200
410221012100133032310202
510134000243314223122
6111231055533450030
74205015341535442
oct451062037166442
980253267370520
1020416403664162
116561603683080
122358a04340916
13b5134920061c
14508232c2c122
1525612690e5ac
hex1291907ced22

20416403664162 has 144 divisors (see below), whose sum is σ = 49654484635392. Its totient is φ = 6012534407040.

The previous prime is 20416403664109. The next prime is 20416403664203. The reversal of 20416403664162 is 26146630461402.

20416403664162 is a `hidden beast` number, since 2 + 0 + 416 + 40 + 36 + 6 + 4 + 162 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233882868 + ... + 233970144.

It is an arithmetic number, because the mean of its divisors is an integer number (344822809968).

Almost surely, 220416403664162 is an apocalyptic number.

20416403664162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20416403664162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24827242317696).

20416403664162 is an abundant number, since it is smaller than the sum of its proper divisors (29238080971230).

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

20416403664162 is a wasteful number, since it uses less digits than its factorization.

20416403664162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88233 (or 88193 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 20416403664162 in words is "twenty trillion, four hundred sixteen billion, four hundred three million, six hundred sixty-four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 863 1221 1369 1726 2442 2589 2738 3663 4107 5178 7326 7767 8214 9493 12321 15059 15534 18986 24642 28479 30118 31931 45177 56958 63862 85437 87277 90354 95793 135531 170874 174554 191586 261831 271062 287379 351241 523662 574758 702482 785493 960047 1053723 1181447 1570986 1920094 2107446 2362894 2880141 3161169 3229249 3544341 5760282 6322338 6458498 7088682 8640423 9687747 10633023 12995917 17280846 19375494 21266046 25991834 29063241 35521739 38987751 58126482 71043478 75320051 77975502 106565217 116963253 119482213 150640102 213130434 225960153 233926506 238964426 319695651 358446639 451920306 639391302 677880459 716893278 828520561 1075339917 1314304343 1355760918 1657041122 2150679834 2485561683 2628608686 2786841887 3942913029 4971123366 5573683774 7456685049 7885826058 8360525661 11828739087 14913370098 16721051322 23657478174 25081576983 30655260757 50163153966 61310521514 91965782271 103113149819 183931564542 206226299638 275897346813 309339449457 551794693626 618678898914 928018348371 1134244648009 1856036696742 2268489296018 3402733944027 6805467888054 10208201832081 20416403664162