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164331094720 = 26513108736341
BaseRepresentation
bin1001100100001011100…
…1011000001011000000
3120201011111221120000111
42121002321120023000
510143022230012340
6203254225401104
714605164154342
oct2310271301300
9521144846014
10164331094720
1163768689791
1227a22199194
131265b655470
147d4cc13292
15441bd14aea
hex2642e582c0

164331094720 has 112 divisors (see below), whose sum is σ = 421813744128. Its totient is φ = 60618608640.

The previous prime is 164331094699. The next prime is 164331094723. The reversal of 164331094720 is 27490133461.

It is a super-2 number, since 2×1643310947202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (164331094723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4503750 + ... + 4540090.

It is an arithmetic number, because the mean of its divisors is an integer number (3766194144).

Almost surely, 2164331094720 is an apocalyptic number.

164331094720 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 164331094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210906872064).

164331094720 is an abundant number, since it is smaller than the sum of its proper divisors (257482649408).

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

164331094720 is a wasteful number, since it uses less digits than its factorization.

164331094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37458 (or 37448 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 164331094720 in words is "one hundred sixty-four billion, three hundred thirty-one million, ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1087 2080 2174 4160 4348 5435 8696 10870 14131 17392 21740 28262 34784 36341 43480 56524 69568 70655 72682 86960 113048 141310 145364 173920 181705 226096 282620 290728 347840 363410 452192 472433 565240 581456 726820 904384 944866 1130480 1162912 1453640 1889732 2260960 2325824 2362165 2907280 3779464 4521920 4724330 5814560 7558928 9448660 11629120 15117856 18897320 30235712 37794640 39502667 75589280 79005334 151178560 158010668 197513335 316021336 395026670 513534671 632042672 790053340 1027069342 1264085344 1580106680 2054138684 2528170688 2567673355 3160213360 4108277368 5135346710 6320426720 8216554736 10270693420 12640853440 16433109472 20541386840 32866218944 41082773680 82165547360 164331094720