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164371246320 = 24354716787257
BaseRepresentation
bin1001100100010101001…
…0100010110011110000
3120201021022111110122210
42121011102202303300
510143113014340240
6203302222132120
714606162353401
oct2310522426360
9521238443583
10164371246320
1163789313226
1227a33721040
1312666a72cc8
147d542a59a8
1544205e6780
hex26454a2cf0

164371246320 has 160 divisors (see below), whose sum is σ = 523514492928. Its totient is φ = 42642356224.

The previous prime is 164371246309. The next prime is 164371246379. The reversal of 164371246320 is 23642173461.

It is a super-2 number, since 2×1643712463202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1840132 + ... + 1927388.

Almost surely, 2164371246320 is an apocalyptic number.

164371246320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164371246320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261757246464).

164371246320 is an abundant number, since it is smaller than the sum of its proper divisors (359143246608).

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

164371246320 is a wasteful number, since it uses less digits than its factorization.

164371246320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87487 (or 87481 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 164371246320 in words is "one hundred sixty-four billion, three hundred seventy-one million, two hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 167 188 235 240 282 334 376 470 501 564 668 705 752 835 940 1002 1128 1336 1410 1670 1880 2004 2256 2505 2672 2820 3340 3760 4008 5010 5640 6680 7849 8016 10020 11280 13360 15698 20040 23547 31396 39245 40080 47094 62792 78490 87257 94188 117735 125584 156980 174514 188376 235470 261771 313960 349028 376752 436285 470940 523542 627920 698056 872570 941880 1047084 1308855 1396112 1745140 1883760 2094168 2617710 3490280 4101079 4188336 5235420 6980560 8202158 10470840 12303237 14571919 16404316 20505395 20941680 24606474 29143838 32808632 41010790 43715757 49212948 58287676 61516185 65617264 72859595 82021580 87431514 98425896 116575352 123032370 145719190 164043160 174863028 196851792 218578785 233150704 246064740 291438380 328086320 349726056 437157570 492129480 582876760 684880193 699452112 874315140 984258960 1165753520 1369760386 1748630280 2054640579 2739520772 3424400965 3497260560 4109281158 5479041544 6848801930 8218562316 10273202895 10958083088 13697603860 16437124632 20546405790 27395207720 32874249264 41092811580 54790415440 82185623160 164371246320