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216325331423406 = 233232957710409071
BaseRepresentation
bin110001001011111100101010…
…100010010001000010101110
31001100221111111021212112022000
4301023330222202101002232
5211323233234321022111
62044030252455033130
763364663242654222
oct6113745242210256
91040844437775260
10216325331423406
1162a2306aaa9387
122031936b96b7a6
13939251168cc0a
143b5c2b8060782
151a021b9465c56
hexc4bf2a8910ae

216325331423406 has 128 divisors (see below), whose sum is σ = 519820728422400. Its totient is φ = 66479482460160.

The previous prime is 216325331423323. The next prime is 216325331423431. The reversal of 216325331423406 is 604324133523612.

216325331423406 is a `hidden beast` number, since 2 + 1 + 6 + 32 + 533 + 1 + 42 + 3 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15577851 + ... + 25986921.

It is an arithmetic number, because the mean of its divisors is an integer number (4061099440800).

Almost surely, 2216325331423406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216325331423406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259910364211200).

216325331423406 is an abundant number, since it is smaller than the sum of its proper divisors (303495396998994).

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

216325331423406 is a wasteful number, since it uses less digits than its factorization.

216325331423406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409711 (or 10409705 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 216325331423406 in words is "two hundred sixteen trillion, three hundred twenty-five billion, three hundred thirty-one million, four hundred twenty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 207 261 414 522 577 621 667 783 1154 1242 1334 1566 1731 2001 3462 4002 5193 6003 10386 12006 13271 15579 16733 18009 26542 31158 33466 36018 39813 50199 79626 100398 119439 150597 238878 301194 358317 384859 451791 716634 769718 903582 1154577 2309154 3463731 6927462 10391193 10409071 20782386 20818142 31227213 62454426 93681639 187363278 239408633 281044917 301863059 478817266 562089834 603726118 718225899 905589177 1436451798 1811178354 2154677697 2716767531 4309355394 5433535062 6006033967 6464033091 6942850357 8150302593 12012067934 12928066182 13885700714 16300605186 18018101901 20828551071 36036203802 41657102142 54054305703 62485653213 108108611406 124971306426 138138781241 162162917109 174174985043 187456959639 276277562482 324325834218 348349970086 374913919278 414416343723 522524955129 828832687446 1045049910258 1243249031169 1567574865387 2486498062338 3135149730774 3729747093507 4006024655989 4702724596161 7459494187014 8012049311978 9405449192322 12018073967967 24036147935934 36054221903901 72108443807802 108162665711703 216325331423406