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2065072008 = 23317792811
BaseRepresentation
bin111101100010110…
…0111111110001000
312022220210112020110
41323011213332020
513212124301013
6540525354320
7102113552046
oct17305477610
95286715213
102065072008
1196a75218a
124977089a0
1326baabacc
14158397396
15c14682c3
hex7b167f88

2065072008 has 96 divisors (see below), whose sum is σ = 5543264160. Its totient is φ = 638876160.

The previous prime is 2065072001. The next prime is 2065072021. The reversal of 2065072008 is 8002705602.

It is not an unprimeable number, because it can be changed into a prime (2065072001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2545923 + ... + 2546733.

It is an arithmetic number, because the mean of its divisors is an integer number (57742335).

Almost surely, 22065072008 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 2065072008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771632080).

2065072008 is an abundant number, since it is smaller than the sum of its proper divisors (3478192152).

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

2065072008 is a wasteful number, since it uses less digits than its factorization.

2065072008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2065072008 is about 45443.0633650506. The cubic root of 2065072008 is about 1273.4397437334.

The spelling of 2065072008 in words is "two billion, sixty-five million, seventy-two thousand, eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 632 811 948 1343 1622 1896 2433 2686 3244 4029 4866 5372 6241 6488 8058 9732 10744 12482 13787 16116 18723 19464 24964 27574 32232 37446 41361 49928 55148 64069 74892 82722 106097 110296 128138 149784 165444 192207 212194 256276 318291 330888 384414 424388 512552 636582 768828 848776 1089173 1273164 1537656 2178346 2546328 3267519 4356692 5061451 6535038 8713384 10122902 13070076 15184353 20245804 26140152 30368706 40491608 60737412 86044667 121474824 172089334 258134001 344178668 516268002 688357336 1032536004 2065072008