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2064512110068 = 2234131233208759
BaseRepresentation
bin11110000010101110100…
…000101100110111110100
321022100212101202121010000
4132002232200230313310
5232311110100010233
64220231311231300
7302104351251432
oct36025640546764
97270771677100
102064512110068
1172661129aa31
12294148b18530
1311c8b4a48175
1471ccc6c1d52
1538a81911d13
hex1e0ae82cdf4

2064512110068 has 120 divisors (see below), whose sum is σ = 5461607511360. Its totient is φ = 679983258240.

The previous prime is 2064512110051. The next prime is 2064512110079. The reversal of 2064512110068 is 8600112154602.

It is a happy number.

2064512110068 is a `hidden beast` number, since 2 + 0 + 645 + 1 + 2 + 1 + 1 + 0 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9785073 + ... + 9993831.

It is an arithmetic number, because the mean of its divisors is an integer number (45513395928).

Almost surely, 22064512110068 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 2064512110068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730803755680).

2064512110068 is an abundant number, since it is smaller than the sum of its proper divisors (3397095401292).

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

2064512110068 is a wasteful number, since it uses less digits than its factorization.

2064512110068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209139 (or 209128 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2064512110068 in words is "two trillion, sixty-four billion, five hundred twelve million, one hundred ten thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 233 262 324 393 466 524 699 786 932 1179 1398 1572 2097 2358 2796 3537 4194 4716 6291 7074 8388 10611 12582 14148 18873 21222 25164 30523 37746 42444 61046 75492 91569 122092 183138 208759 274707 366276 417518 549414 626277 824121 835036 1098828 1252554 1648242 1878831 2472363 2505108 3296484 3757662 4944726 5636493 7515324 9889452 11272986 16909479 22545972 27347429 33818958 48640847 54694858 67637916 82042287 97281694 109389716 145922541 164084574 194563388 246126861 291845082 328169148 437767623 492253722 583690164 738380583 875535246 984507444 1313302869 1476761166 1751070492 2215141749 2626605738 2953522332 3939908607 4430283498 5253211476 6371950957 7879817214 8860566996 12743901914 15759634428 19115852871 25487803828 38231705742 57347558613 76463411484 114695117226 172042675839 229390234452 344085351678 516128027517 688170703356 1032256055034 2064512110068