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164346662656 = 2811232537467
BaseRepresentation
bin1001100100001111010…
…0110000111100000000
3120201012121020111012201
42121003310300330000
510143040221201111
6203255543202544
714605443404041
oct2310364607400
9521177214181
10164346662656
1163776452150
1227a27446454
1312661946467
147d50d068c8
15441d38c6c1
hex2643d30f00

164346662656 has 72 divisors (see below), whose sum is σ = 373434090624. Its totient is φ = 71455042560.

The previous prime is 164346662651. The next prime is 164346662693. The reversal of 164346662656 is 656266643461.

It is a junction number, because it is equal to n+sod(n) for n = 164346662597 and 164346662606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164346662651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203966 + ... + 1333501.

It is an arithmetic number, because the mean of its divisors is an integer number (5186584592).

Almost surely, 2164346662656 is an apocalyptic number.

164346662656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164346662656 is an abundant number, since it is smaller than the sum of its proper divisors (209087427968).

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

164346662656 is a wasteful number, since it uses less digits than its factorization.

164346662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537517 (or 2537503 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 55.

The spelling of 164346662656 in words is "one hundred sixty-four billion, three hundred forty-six million, six hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 704 736 1012 1408 1472 2024 2816 2944 4048 5888 8096 16192 32384 64768 2537467 5074934 10149868 20299736 27912137 40599472 55824274 58361741 81198944 111648548 116723482 162397888 223297096 233446964 324795776 446594192 466893928 641979151 649591552 893188384 933787856 1283958302 1786376768 1867575712 2567916604 3572753536 3735151424 5135833208 7145507072 7470302848 10271666416 14940605696 20543332832 41086665664 82173331328 164346662656