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164544308832 = 25323373319963
BaseRepresentation
bin1001100100111110011…
…0101110011001100000
3120201201101010221210110
42121033212232121200
510143441320340312
6203331323331320
714613363356001
oct2311746563140
9521641127713
10164544308832
1163867a776a2
1227a81680b40
1312693888267
147d6d2751a8
1544308ce43c
hex264f9ae660

164544308832 has 96 divisors (see below), whose sum is σ = 450851643648. Its totient is φ = 52446721536.

The previous prime is 164544308701. The next prime is 164544308837. The reversal of 164544308832 is 238803445461.

164544308832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164544308837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8232483 + ... + 8252445.

It is an arithmetic number, because the mean of its divisors is an integer number (4696371288).

Almost surely, 2164544308832 is an apocalyptic number.

164544308832 is a gapful number since it is divisible by the number (12) 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 164544308832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225425821824).

164544308832 is an abundant number, since it is smaller than the sum of its proper divisors (286307334816).

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

164544308832 is a wasteful number, since it uses less digits than its factorization.

164544308832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23732 (or 23724 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 164544308832 in words is "one hundred sixty-four billion, five hundred forty-four million, three hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 3733 7466 11199 14932 19963 22398 29864 39926 44796 59728 59889 79852 85859 89592 119456 119778 159704 171718 179184 239556 257577 319408 343436 358368 459149 479112 515154 638816 686872 918298 958224 1030308 1373744 1377447 1836596 1916448 2060616 2747488 2754894 3673192 4121232 5509788 7346384 8242464 11019576 14692768 22039152 44078304 74521879 149043758 223565637 298087516 447131274 596175032 894262548 1192350064 1714003217 1788525096 2384700128 3428006434 3577050192 5142009651 6856012868 7154100384 10284019302 13712025736 20568038604 27424051472 41136077208 54848102944 82272154416 164544308832