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164496982623870 = 235134311999489557
BaseRepresentation
bin100101011001101111110000…
…001101110100011001111110
3210120102202110112212212112010
4211121233300031310121332
5133030104310022430440
61341504512013352050
746435341401660511
oct4531576015643176
9716382415785463
10164496982623870
1148460862299a66
121654874a798626
1370a2cca781360
142c899a7060d78
151403e260d8580
hex959bf037467e

164496982623870 has 128 divisors (see below), whose sum is σ = 426361936896000. Its totient is φ = 40377325616640.

The previous prime is 164496982623791. The next prime is 164496982623877. The reversal of 164496982623870 is 78326289694461.

It is a junction number, because it is equal to n+sod(n) for n = 164496982623792 and 164496982623801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164496982623877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335767132 + ... + 336256688.

It is an arithmetic number, because the mean of its divisors is an integer number (3330952632000).

Almost surely, 2164496982623870 is an apocalyptic number.

164496982623870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164496982623870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213180968448000).

164496982623870 is an abundant number, since it is smaller than the sum of its proper divisors (261864954272130).

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

164496982623870 is a wasteful number, since it uses less digits than its factorization.

164496982623870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492010.

The product of its (nonzero) digits is 1504935936, while the sum is 75.

The spelling of 164496982623870 in words is "one hundred sixty-four trillion, four hundred ninety-six billion, nine hundred eighty-two million, six hundred twenty-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 431 862 1293 1999 2155 2586 3998 4310 5603 5997 6465 9995 11206 11994 12930 16809 19990 25987 28015 29985 33618 51974 56030 59970 77961 84045 129935 155922 168090 259870 389805 489557 779610 861569 979114 1468671 1723138 2447785 2584707 2937342 4307845 4895570 5169414 6364241 7343355 8615690 11200397 12728482 12923535 14686710 19092723 22400794 25847070 31821205 33601191 38185446 56001985 63642410 67202382 95463615 112003970 168005955 190927230 210999067 336011910 421998134 632997201 978624443 1054995335 1265994402 1957248886 2109990670 2742987871 2935873329 3164986005 4893122215 5485975742 5871746658 6329972010 8228963613 9786244430 12722117759 13714939355 14679366645 16457927226 25444235518 27429878710 29358733290 38166353277 41144818065 63610588795 76332706554 82289636130 127221177590 190831766385 381663532770 421787134933 843574269866 1265361404799 2108935674665 2530722809598 4217871349330 5483232754129 6326807023995 10966465508258 12653614047990 16449698262387 27416163770645 32899396524774 54832327541290 82248491311935 164496982623870