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153242014846456 = 232316791112314447
BaseRepresentation
bin100010110101111101101111…
…110111000000110111111000
3202002120210102111101002121101
4202311331233313000313320
5130041204121300041311
61301530224301421144
744164240661233264
oct4265755767006770
9662523374332541
10153242014846456
1144911634408138
121522b3b486a7b4
136767877012373
1429bad4b4030a4
1512ab29a925ec1
hex8b5f6fdc0df8

153242014846456 has 128 divisors (see below), whose sum is σ = 302260994703360. Its totient is φ = 72695365142400.

The previous prime is 153242014846439. The next prime is 153242014846477. The reversal of 153242014846456 is 654648410242351.

It is a super-2 number, since 2×1532420148464562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153242014846397 and 153242014846406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34459636825 + ... + 34459641271.

It is an arithmetic number, because the mean of its divisors is an integer number (2361414021120).

Almost surely, 2153242014846456 is an apocalyptic number.

It is an amenable number.

153242014846456 is a deficient number, since it is larger than the sum of its proper divisors (149018979856904).

153242014846456 is a wasteful number, since it uses less digits than its factorization.

153242014846456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 55.

The spelling of 153242014846456 in words is "one hundred fifty-three trillion, two hundred forty-two billion, fourteen million, eight hundred forty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 23 46 92 167 184 334 668 911 1231 1336 1822 2462 3644 3841 4447 4924 7288 7682 8894 9848 15364 17788 20953 28313 30728 35576 41906 56626 83812 102281 113252 152137 167624 204562 205577 226504 304274 409124 411154 608548 742649 818248 822308 1121441 1217096 1485298 1644616 2242882 2970596 3499151 4051217 4485764 4728271 5474257 5941192 6998302 8102434 8971528 9456542 10948514 13996604 16204868 17080927 18913084 21897028 25793143 27993208 32409736 34161854 37826168 43794056 51586286 68323708 93177991 103172572 125907911 136647416 186355982 187280647 206345144 251815822 372711964 374561294 503631644 676553239 745423928 749122588 914200919 1007263288 1353106478 1498245176 1828401838 2706212956 3656803676 4307454881 4987048127 5412425912 7313607352 8614909762 9974096254 15560724497 17229819524 19948192508 21026621137 31121448994 34459639048 39896385016 42053242274 62242897988 84106484548 114702106921 124485795976 168212969096 229404213842 458808427684 832837037209 917616855368 1665674074418 3331348148836 6662696297672 19155251855807 38310503711614 76621007423228 153242014846456