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2764664320 = 29511313167
BaseRepresentation
bin1010010011001001…
…0110111000000000
321010200012111110211
42210302112320000
521130223224240
61134200203504
7125340154555
oct24462267000
97120174424
102764664320
111199643250
12651a69594
13350a07762
141c3266a2c
15112aa9bea
hexa4c96e00

2764664320 has 160 divisors (see below), whose sum is σ = 7466950656. Its totient is φ = 972595200.

The previous prime is 2764664311. The next prime is 2764664333. The reversal of 2764664320 is 234664672.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871377 + ... + 874543.

Almost surely, 22764664320 is an apocalyptic number.

2764664320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733475328).

2764664320 is an abundant number, since it is smaller than the sum of its proper divisors (4702286336).

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

2764664320 is a wasteful number, since it uses less digits than its factorization.

2764664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The square root of 2764664320 is about 52580.0753137536. The cubic root of 2764664320 is about 1403.5055550125.

The spelling of 2764664320 in words is "two billion, seven hundred sixty-four million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 341 352 440 496 512 620 640 682 704 880 992 1240 1280 1364 1408 1705 1760 1984 2480 2560 2728 2816 3167 3410 3520 3968 4960 5456 5632 6334 6820 7040 7936 9920 10912 12668 13640 14080 15835 15872 19840 21824 25336 27280 28160 31670 34837 39680 43648 50672 54560 63340 69674 79360 87296 98177 101344 109120 126680 139348 174185 174592 196354 202688 218240 253360 278696 348370 392708 405376 436480 490885 506720 557392 696740 785416 810752 872960 981770 1013440 1079947 1114784 1393480 1570832 1621504 1963540 2026880 2159894 2229568 2786960 3141664 3927080 4053760 4319788 4459136 5399735 5573920 6283328 7854160 8107520 8639576 8918272 10799470 11147840 12566656 15708320 17279152 17836544 21598940 22295680 25133312 31416640 34558304 43197880 44591360 50266624 62833280 69116608 86395760 89182720 125666560 138233216 172791520 251333120 276466432 345583040 552932864 691166080 1382332160 2764664320