Search a number
-
+
74983272160368 = 243111399721109547
BaseRepresentation
bin10001000011001001100111…
…010011010001110001110000
3100211111022221011100121010210
4101003021213103101301300
534312011220133112433
6423250501212224120
721536235246063345
oct2103114723216160
9324438834317123
1074983272160368
112198a255363130
1284b031616b040
1332abb7a2a8ac0
1414732d17367cc
158a07488a0463
hex4432674d1c70

74983272160368 has 160 divisors (see below), whose sum is σ = 227575968705792. Its totient is φ = 20973940070400.

The previous prime is 74983272160327. The next prime is 74983272160369. The reversal of 74983272160368 is 86306127238947.

It is a super-2 number, since 2×749832721603682 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 74983272160299 and 74983272160308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74983272160369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684430171 + ... + 684539717.

Almost surely, 274983272160368 is an apocalyptic number.

74983272160368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

74983272160368 is an abundant number, since it is smaller than the sum of its proper divisors (152592696545424).

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

74983272160368 is a wasteful number, since it uses less digits than its factorization.

74983272160368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209303 (or 209297 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 74983272160368 in words is "seventy-four trillion, nine hundred eighty-three billion, two hundred seventy-two million, one hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 99721 109547 199442 219094 299163 328641 398884 438188 598326 657282 797768 876376 1096931 1196652 1205017 1296373 1314564 1424111 1595536 1752752 2193862 2393304 2410034 2592746 2629128 2848222 3290793 3615051 3889119 4272333 4387724 4786608 4820068 5185492 5258256 5696444 6581586 7230102 7778238 8544666 8775448 9640136 10370984 11392888 13163172 14260103 14460204 15556476 15665221 17089332 17550896 19280272 20741968 22785776 26326344 28520206 28920408 31112952 31330442 34178664 42780309 46995663 52652688 57040412 57840816 62225904 62660884 68357328 85560618 93991326 114080824 125321768 171121236 187982652 228161648 250643536 342242472 375965304 684484944 751930608 10924136387 21848272774 32772409161 43696545548 65544818322 87393091096 120165500257 131089636644 142013773031 174786182192 240331000514 262179273288 284027546062 360496500771 426041319093 480662001028 524358546576 568055092124 720993001542 852082638186 961324002056 1136110184248 1441986003084 1562151503341 1704165276372 1922648004112 2272220368496 2883972006168 3124303006682 3408330552744 4686454510023 5767944012336 6248606013364 6816661105488 9372909020046 12497212026728 18745818040092 24994424053456 37491636080184 74983272160368