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164047308264 = 23337195710363
BaseRepresentation
bin1001100011000111111…
…0110100010111101000
3120200102201221201012000
42120301332310113220
510141432102331024
6203210131051000
714565150053520
oct2306176642750
9520381851160
10164047308264
1163632479824
1227963140a60
1312614913498
147d23260680
154401e59cc9
hex2631fb45e8

164047308264 has 128 divisors (see below), whose sum is σ = 548194944000. Its totient is φ = 44403774912.

The previous prime is 164047308259. The next prime is 164047308307. The reversal of 164047308264 is 462803740461.

164047308264 is a `hidden beast` number, since 1 + 6 + 40 + 47 + 308 + 264 = 666.

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, 2826454 + ... + 2883909.

It is an arithmetic number, because the mean of its divisors is an integer number (4282773000).

Almost surely, 2164047308264 is an apocalyptic number.

164047308264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164047308264 is an abundant number, since it is smaller than the sum of its proper divisors (384147635736).

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

164047308264 is a wasteful number, since it uses less digits than its factorization.

164047308264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710404 (or 5710394 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 164047308264 in words is "one hundred sixty-four billion, forty-seven million, three hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 5710363 11420726 17131089 22841452 34262178 39972541 45682904 51393267 68524356 79945082 102786534 108496897 119917623 137048712 154179801 159890164 205573068 216993794 239835246 308359602 319780328 325490691 359752869 411146136 433987588 479670492 616719204 650981382 719505738 759478279 867975176 959340984 976472073 1079258607 1233438408 1301962764 1439011476 1518956558 1952944146 2158517214 2278434837 2603925528 2878022952 2929416219 3037913116 3905888292 4317034428 4556869674 5858832438 6075826232 6835304511 7811776584 8634068856 9113739348 11717664876 13670609022 18227478696 20505913533 23435329752 27341218044 41011827066 54682436088 82023654132 164047308264