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164235283884 = 223371712778967
BaseRepresentation
bin1001100011110100101…
…1111000110110101100
3120200220211122212021000
42120331023320312230
510142323213041014
6203240524040300
714602621610430
oct2307513706654
9520824585230
10164235283884
1163719599681
12279b6093090
131264484a669
147d401d29c0
1544136db509
hex263d2f8dac

164235283884 has 96 divisors (see below), whose sum is σ = 515247989760. Its totient is φ = 44164106496.

The previous prime is 164235283859. The next prime is 164235283889. The reversal of 164235283884 is 488382532461.

164235283884 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 3 + 528 + 38 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 164235283884.

It is not an unprimeable number, because it can be changed into a prime (164235283889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6376632 + ... + 6402335.

It is an arithmetic number, because the mean of its divisors is an integer number (5367166560).

Almost surely, 2164235283884 is an apocalyptic number.

164235283884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164235283884 is an abundant number, since it is smaller than the sum of its proper divisors (351012705876).

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

164235283884 is a wasteful number, since it uses less digits than its factorization.

164235283884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12779004 (or 12778996 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 164235283884 in words is "one hundred sixty-four billion, two hundred thirty-five million, two hundred eighty-three thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 12852 12778967 25557934 38336901 51115868 76673802 89452769 115010703 153347604 178905538 217242439 230021406 268358307 345032109 357811076 434484878 460042812 536716614 651727317 690064218 805074921 868969756 1073433228 1303454634 1380128436 1520697073 1610149842 1955181951 2415224763 2606909268 3041394146 3220299684 3910363902 4562091219 4830449526 5865545853 6082788292 7820727804 9124182438 9660899052 11731091706 13686273657 18248364876 23462183412 27372547314 41058820971 54745094628 82117641942 164235283884