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4012665330 = 23523291271579
BaseRepresentation
bin1110111100101100…
…0110100111110010
3101100122112112000110
43233023012213302
531204220242310
61502101202150
7201303043512
oct35713064762
911318475013
104012665330
11177a054943
1293ba00356
134bc4374ab
142a0ccd842
15187427d20
hexef2c69f2

4012665330 has 128 divisors (see below), whose sum is σ = 10484121600. Its totient is φ = 979824384.

The previous prime is 4012665313. The next prime is 4012665337. The reversal of 4012665330 is 335662104.

It is a super-2 number, since 2×40126653302 = 32202966101168017800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4012665337) 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 63 ways as a sum of consecutive naturals, for example, 2540481 + ... + 2542059.

It is an arithmetic number, because the mean of its divisors is an integer number (81907200).

Almost surely, 24012665330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012665330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242060800).

4012665330 is an abundant number, since it is smaller than the sum of its proper divisors (6471456270).

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

4012665330 is a wasteful number, since it uses less digits than its factorization.

4012665330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 4012665330 is about 63345.6022940819. The cubic root of 4012665330 is about 1589.0746999476.

The spelling of 4012665330 in words is "four billion, twelve million, six hundred sixty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 127 138 145 174 230 254 290 345 381 435 635 667 690 762 870 1270 1334 1579 1905 2001 2921 3158 3335 3683 3810 4002 4737 5842 6670 7366 7895 8763 9474 10005 11049 14605 15790 17526 18415 20010 22098 23685 29210 36317 36830 43815 45791 47370 55245 72634 84709 87630 91582 108951 110490 137373 169418 181585 200533 217902 228955 254127 274746 363170 401066 423545 457910 508254 544755 601599 686865 847090 1002665 1053193 1089510 1203198 1270635 1373730 2005330 2106386 2541270 3007995 3159579 4612259 5265965 5815457 6015990 6319158 9224518 10531930 11630914 13836777 15797895 17446371 23061295 27673554 29077285 31595790 34892742 46122590 58154570 69183885 87231855 133755511 138367770 174463710 267511022 401266533 668777555 802533066 1337555110 2006332665 4012665330