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5464777000 = 235323534483
BaseRepresentation
bin1010001011011100…
…11110000100101000
3112002211221102202011
411011232132010220
542142440331000
62302133045304
7252264560314
oct50556360450
915084842664
105464777000
1123547a6931
121086186834
13691230577
1439bac8b44
1521eb632ba
hex145b9e128

5464777000 has 128 divisors (see below), whose sum is σ = 13598357760. Its totient is φ = 2050963200.

The previous prime is 5464776983. The next prime is 5464777013. The reversal of 5464777000 is 7774645.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216759 + ... + 1221241.

It is an arithmetic number, because the mean of its divisors is an integer number (106237170).

Almost surely, 25464777000 is an apocalyptic number.

5464777000 is a gapful number since it is divisible by the number (50) 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 5464777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799178880).

5464777000 is an abundant number, since it is smaller than the sum of its proper divisors (8133580760).

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

5464777000 is a wasteful number, since it uses less digits than its factorization.

5464777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 5464777000 is about 73924.1300253172. The cubic root of 5464777000 is about 1761.3979294783.

The spelling of 5464777000 in words is "five billion, four hundred sixty-four million, seven hundred seventy-seven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 53 92 100 106 115 125 184 200 212 230 250 265 424 460 500 530 575 920 1000 1060 1150 1219 1325 2120 2300 2438 2650 2875 4483 4600 4876 5300 5750 6095 6625 8966 9752 10600 11500 12190 13250 17932 22415 23000 24380 26500 30475 35864 44830 48760 53000 60950 89660 103109 112075 121900 152375 179320 206218 224150 237599 243800 304750 412436 448300 475198 515545 560375 609500 824872 896600 950396 1031090 1120750 1187995 1219000 1900792 2062180 2241500 2375990 2577725 4124360 4483000 4751980 5155450 5464777 5939975 9503960 10310900 10929554 11879950 12888625 20621800 21859108 23759900 25777250 27323885 29699875 43718216 47519800 51554500 54647770 59399750 103109000 109295540 118799500 136619425 218591080 237599000 273238850 546477700 683097125 1092955400 1366194250 2732388500 5464777000