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2660765328 = 243313716673
BaseRepresentation
bin1001111010011000…
…0000111010010000
320212102200212212000
42132212000322100
520422123442303
61120005234000
7122636063214
oct23646007220
96772625760
102660765328
111145a29411
12623102900
1333532a370
141b353c944
151088d4da3
hex9e980e90

2660765328 has 160 divisors (see below), whose sum is σ = 8341966080. Its totient is φ = 807045120.

The previous prime is 2660765321. The next prime is 2660765329. The reversal of 2660765328 is 8235670662.

It is a happy number.

2660765328 is a `hidden beast` number, since 2 + 6 + 607 + 6 + 5 + 32 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2660765321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395400 + ... + 402072.

It is an arithmetic number, because the mean of its divisors is an integer number (52137288).

Almost surely, 22660765328 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 2660765328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170983040).

2660765328 is an abundant number, since it is smaller than the sum of its proper divisors (5681200752).

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

2660765328 is a wasteful number, since it uses less digits than its factorization.

2660765328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2660765328 is about 51582.6068360256. The cubic root of 2660765328 is about 1385.6988532582.

The spelling of 2660765328 in words is "two billion, six hundred sixty million, seven hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 71 72 78 104 108 117 142 144 156 208 213 216 234 284 312 351 426 432 468 568 624 639 702 852 923 936 1136 1278 1404 1704 1846 1872 1917 2556 2769 2808 3408 3692 3834 5112 5538 5616 6673 7384 7668 8307 10224 11076 13346 14768 15336 16614 20019 22152 24921 26692 30672 33228 40038 44304 49842 53384 60057 66456 80076 86749 99684 106768 120114 132912 160152 173498 180171 199368 240228 260247 320304 346996 360342 398736 473783 480456 520494 693992 720684 780741 947566 960912 1040988 1387984 1421349 1441368 1561482 1895132 2081976 2342223 2842698 2882736 3122964 3790264 4163952 4264047 4684446 5685396 6159179 6245928 7580528 8528094 9368892 11370792 12318358 12491856 12792141 17056188 18477537 18737784 22741584 24636716 25584282 34112376 36955074 37475568 49273432 51168564 55432611 68224752 73910148 98546864 102337128 110865222 147820296 166297833 204674256 221730444 295640592 332595666 443460888 665191332 886921776 1330382664 2660765328