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850673664 = 21434641
BaseRepresentation
bin110010101101000…
…100000000000000
32012021200200220000
4302231010000000
53220233024124
6220224520000
730036415101
oct6255040000
92167620800
10850673664
113a7201795
121b8a80000
13107315ac9
1480d9a3a8
154ea366c9
hex32b44000

850673664 has 150 divisors (see below), whose sum is σ = 2545406094. Its totient is φ = 283115520.

The previous prime is 850673627. The next prime is 850673671. The reversal of 850673664 is 466376058.

It can be written as a sum of positive squares in only one way, i.e., 829440000 + 21233664 = 28800^2 + 4608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326784 + ... + 1327424.

Almost surely, 2850673664 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 850673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272703047).

850673664 is an abundant number, since it is smaller than the sum of its proper divisors (1694732430).

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

850673664 is an frugal number, since it uses more digits than its factorization.

850673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 646 counting only the distinct ones).

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

The square root of 850673664 is about 29166.3104283007. The cubic root of 850673664 is about 947.5184222834.

The spelling of 850673664 in words is "eight hundred fifty million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 641 648 768 864 1024 1152 1282 1296 1536 1728 1923 2048 2304 2564 2592 3072 3456 3846 4096 4608 5128 5184 5769 6144 6912 7692 8192 9216 10256 10368 11538 12288 13824 15384 16384 17307 18432 20512 20736 23076 24576 27648 30768 34614 36864 41024 41472 46152 49152 51921 55296 61536 69228 73728 82048 82944 92304 103842 110592 123072 138456 147456 164096 165888 184608 207684 221184 246144 276912 328192 331776 369216 415368 442368 492288 553824 656384 663552 738432 830736 984576 1107648 1312768 1327104 1476864 1661472 1969152 2215296 2625536 2953728 3322944 3938304 4430592 5251072 5907456 6645888 7876608 8861184 10502144 11814912 13291776 15753216 17722368 23629824 26583552 31506432 35444736 47259648 53167104 70889472 94519296 106334208 141778944 212668416 283557888 425336832 850673664