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164325010670316 = 2235607724338453
BaseRepresentation
bin100101010111001111100101…
…111000111000001011101100
3210112211022120112022110200000
4211113033211320320023230
5133014300110212422231
61341253511233504300
746420042644331566
oct4527174570701354
9715738515273600
10164325010670316
11483a4933640a11
121651b355712090
13708ca2211c962
142c81531550336
1513ee70d5ba6e6
hex9573e5e382ec

164325010670316 has 144 divisors (see below), whose sum is σ = 431541897206784. Its totient is φ = 54675792732096.

The previous prime is 164325010670309. The next prime is 164325010670333. The reversal of 164325010670316 is 613076010523461.

164325010670316 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 250 + 10 + 6 + 70 + 316 = 666.

164325010670316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4273379746 + ... + 4273418198.

Almost surely, 2164325010670316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164325010670316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215770948603392).

164325010670316 is an abundant number, since it is smaller than the sum of its proper divisors (267216886536468).

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

164325010670316 is a wasteful number, since it uses less digits than its factorization.

164325010670316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46322 (or 46308 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 164325010670316 in words is "one hundred sixty-four trillion, three hundred twenty-five billion, ten million, six hundred seventy thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 607 972 1214 1821 2428 3642 5463 7243 7284 10926 14486 16389 21729 21852 28972 32778 38453 43458 49167 65187 65556 76906 86916 98334 115359 130374 147501 153812 195561 196668 230718 260748 295002 346077 391122 461436 586683 590004 692154 782244 1038231 1173366 1384308 1760049 2076462 2346732 3114693 3520098 4152924 4396501 6229386 7040196 8793002 9344079 12458772 13189503 17586004 18688158 23340971 26379006 37376316 39568509 46681942 52758012 70022913 79137018 93363884 118705527 140045826 158274036 210068739 237411054 278515079 280091652 356116581 420137478 474822108 557030158 630206217 712233162 835545237 840274956 1068349743 1114060316 1260412434 1424466324 1671090474 1890618651 2136699486 2506635711 2520824868 3342180948 3781237302 4273398972 5013271422 5671855953 7519907133 7562474604 10026542844 11343711906 15039814266 22559721399 22687423812 30079628532 45119442798 67679164197 90238885596 135358328394 169058652953 270716656788 338117305906 507175958859 676234611812 1014351917718 1521527876577 2028703835436 3043055753154 4564583629731 6086111506308 9129167259462 13693750889193 18258334518924 27387501778386 41081252667579 54775003556772 82162505335158 164325010670316