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1064166239328 = 253181330118553
BaseRepresentation
bin11110111110001010100…
…00000010110001100000
310202201210120112010011120
433133011100002301200
5114413403024124303
62132512103412240
7136612013534043
oct17370520026140
93681716463146
101064166239328
11380346110255
121522ab154080
1379472c10aaa
1439712364c5a
151ca34b2a553
hexf7c5402c60

1064166239328 has 96 divisors (see below), whose sum is σ = 2809872086112. Its totient is φ = 352636416000.

The previous prime is 1064166239287. The next prime is 1064166239347. The reversal of 1064166239328 is 8239326614601.

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

It is a super-2 number, since 2×10641662393282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57348900 + ... + 57367452.

It is an arithmetic number, because the mean of its divisors is an integer number (29269500897).

Almost surely, 21064166239328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064166239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404936043056).

1064166239328 is an abundant number, since it is smaller than the sum of its proper divisors (1745705846784).

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

1064166239328 is a wasteful number, since it uses less digits than its factorization.

1064166239328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22048 (or 22040 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 1064166239328 in words is "one trillion, sixty-four billion, one hundred sixty-six million, two hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2896 3301 4344 5792 6602 8688 9903 13204 17376 18553 19806 26408 37106 39612 52816 55659 74212 79224 105632 111318 148424 158448 222636 296848 316896 445272 593696 597481 890544 1194962 1781088 1792443 2389924 3358093 3584886 4779848 6716186 7169772 9559696 10074279 13432372 14339544 19119392 20148558 26864744 28679088 40297116 53729488 57358176 61243453 80594232 107458976 122486906 161188464 183730359 244973812 322376928 367460718 489947624 734921436 979895248 1469842872 1959790496 2939685744 5879371488 11085064993 22170129986 33255194979 44340259972 66510389958 88680519944 133020779916 177361039888 266041559832 354722079776 532083119664 1064166239328