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2064146016 = 25319259561
BaseRepresentation
bin111101100001000…
…0101111001100000
312022212001111000110
41323002011321200
513211410133031
6540453451320
7102102644262
oct17302057140
95285044013
102064146016
1196a17a4a9
12497340b40
1326b84649a
141581d5b32
15c1333c46
hex7b085e60

2064146016 has 72 divisors (see below), whose sum is σ = 5718666744. Its totient is φ = 651824640.

The previous prime is 2064145987. The next prime is 2064146023. The reversal of 2064146016 is 6106414602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4876 + ... + 64436.

It is an arithmetic number, because the mean of its divisors is an integer number (79425927).

Almost surely, 22064146016 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 2064146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859333372).

2064146016 is an abundant number, since it is smaller than the sum of its proper divisors (3654520728).

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

2064146016 is a wasteful number, since it uses less digits than its factorization.

2064146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59612 (or 59585 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2064146016 is about 45432.8737369760. The cubic root of 2064146016 is about 1273.2493756643.

The spelling of 2064146016 in words is "two billion, sixty-four million, one hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 722 912 1083 1444 1824 2166 2888 4332 5776 8664 11552 17328 34656 59561 119122 178683 238244 357366 476488 714732 952976 1131659 1429464 1905952 2263318 2858928 3394977 4526636 5717856 6789954 9053272 13579908 18106544 21501521 27159816 36213088 43003042 54319632 64504563 86006084 108639264 129009126 172012168 258018252 344024336 516036504 688048672 1032073008 2064146016