Search a number
-
+
8332010496 = 210326114821
BaseRepresentation
bin1111100001010000…
…00110010000000000
3210111200010222200100
413300220012100000
5114030443313441
63454435522400
7413321630535
oct76050062000
923450128610
108332010496
113596225897
121746459400
13a2a26b034
14590810d8c
1533b72dcb6
hex1f0a06400

8332010496 has 132 divisors (see below), whose sum is σ = 24454551004. Its totient is φ = 2731622400.

The previous prime is 8332010459. The next prime is 8332010497. The reversal of 8332010496 is 6940102338.

It can be written as a sum of positive squares in 2 ways, for example, as 1594884096 + 6737126400 = 39936^2 + 82080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8332010496.

It is not an unprimeable number, because it can be changed into a prime (8332010497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554766 + ... + 569586.

Almost surely, 28332010496 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 8332010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227275502).

8332010496 is an abundant number, since it is smaller than the sum of its proper divisors (16122540508).

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

8332010496 is a wasteful number, since it uses less digits than its factorization.

8332010496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908 (or 14887 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8332010496 is about 91279.8471514934. The cubic root of 8332010496 is about 2027.2933826627.

The spelling of 8332010496 in words is "eight billion, three hundred thirty-two million, ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1536 1952 2196 2304 2928 3072 3904 4392 4608 5856 7808 8784 9216 11712 14821 15616 17568 23424 29642 31232 35136 44463 46848 59284 62464 70272 88926 93696 118568 133389 140544 177852 187392 237136 266778 281088 355704 474272 533556 562176 711408 904081 948544 1067112 1422816 1808162 1897088 2134224 2712243 2845632 3616324 3794176 4268448 5424486 5691264 7232648 7588352 8136729 8536896 10848972 11382528 14465296 15176704 16273458 17073792 21697944 22765056 28930592 32546916 34147584 43395888 45530112 57861184 65093832 68295168 86791776 115722368 130187664 136590336 173583552 231444736 260375328 347167104 462889472 520750656 694334208 925778944 1041501312 1388668416 2083002624 2777336832 4166005248 8332010496