Search a number
-
+
45500000608 = 25172311293221
BaseRepresentation
bin101010011000000000…
…101110100101100000
311100102222021111221201
4222120000232211200
51221141000004413
632522530530544
73200350423666
oct523000564540
9140388244851
1045500000608
1118329622997
128999a36a54
1343a16965aa
1422b8c24c36
1512b47a69dd
hexa9802e960

45500000608 has 96 divisors (see below), whose sum is σ = 99089645760. Its totient is φ = 20456325120.

The previous prime is 45500000599. The next prime is 45500000621. The reversal of 45500000608 is 80600000554.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14124438 + ... + 14127658.

It is an arithmetic number, because the mean of its divisors is an integer number (1032183810).

Almost surely, 245500000608 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 45500000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49544822880).

45500000608 is an abundant number, since it is smaller than the sum of its proper divisors (53589645152).

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

45500000608 is a wasteful number, since it uses less digits than its factorization.

45500000608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 45500000608 in words is "forty-five billion, five hundred million, six hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1129 1564 2258 3128 3221 4516 6256 6442 9032 12512 12884 18064 19193 25768 25967 36128 38386 51536 51934 54757 74083 76772 103072 103868 109514 148166 153544 207736 219028 296332 307088 415472 438056 441439 592664 614176 830944 876112 882878 1185328 1259411 1752224 1765756 2370656 2518822 3531512 3636509 5037644 7063024 7273018 10075288 14126048 14546036 20150576 29092072 40301152 58184144 61820653 83639707 116368288 123641306 167279414 247282612 334558828 494565224 669117656 989130448 1338235312 1421875019 1978260896 2676470624 2843750038 5687500076 11375000152 22750000304 45500000608