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296545345152 = 2737208352963
BaseRepresentation
bin1000101000010110111…
…10101101111010000000
31001100102202101101012120
410110023132231322000
514324311102021102
6344121523524240
730265445562330
oct4241336557200
91040382341176
10296545345152
11104845130a51
1249580529680
1321c6c1aaa44
14104d23c90c0
157aa925c6bc
hex450b7ade80

296545345152 has 128 divisors (see below), whose sum is σ = 900676124160. Its totient is φ = 84684966912.

The previous prime is 296545345133. The next prime is 296545345189. The reversal of 296545345152 is 251543545692.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 296545345095 and 296545345104.

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, 5572623 + ... + 5625585.

It is an arithmetic number, because the mean of its divisors is an integer number (7036532220).

Almost surely, 2296545345152 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 296545345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450338062080).

296545345152 is an abundant number, since it is smaller than the sum of its proper divisors (604130779008).

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

296545345152 is a wasteful number, since it uses less digits than its factorization.

296545345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55070 (or 55058 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 51.

The spelling of 296545345152 in words is "two hundred ninety-six billion, five hundred forty-five million, three hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2083 2688 4166 6249 8332 12498 14581 16664 24996 29162 33328 43743 49992 52963 58324 66656 87486 99984 105926 116648 133312 158889 174972 199968 211852 233296 266624 317778 349944 370741 399936 423704 466592 635556 699888 741482 799872 847408 933184 1112223 1271112 1399776 1482964 1694816 1866368 2224446 2542224 2799552 2965928 3389632 4448892 5084448 5599104 5931856 6779264 8897784 10168896 11863712 17795568 20337792 23727424 35591136 47454848 71182272 110321929 142364544 220643858 330965787 441287716 661931574 772253503 882575432 1323863148 1544507006 1765150864 2316760509 2647726296 3089014012 3530301728 4633521018 5295452592 6178028024 7060603456 9267042036 10590905184 12356056048 14121206912 18534084072 21181810368 24712112096 37068168144 42363620736 49424224192 74136336288 98848448384 148272672576 296545345152