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64400455700 = 22527178116673
BaseRepresentation
bin111011111110100100…
…001111100000010100
320011020011211010010222
4323332210033200110
52023343004040300
645330221133512
74436621561420
oct737644174024
9204204733128
1064400455700
1125348418609
12105936ba298
1360c431c729
14318d089b80
151a1dc2b785
hexefe90f814

64400455700 has 144 divisors (see below), whose sum is σ = 169341911424. Its totient is φ = 20752588800.

The previous prime is 64400455697. The next prime is 64400455747. The reversal of 64400455700 is 755400446.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9647564 + ... + 9654236.

It is an arithmetic number, because the mean of its divisors is an integer number (1175985496).

Almost surely, 264400455700 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 64400455700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84670955712).

64400455700 is an abundant number, since it is smaller than the sum of its proper divisors (104941455724).

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

64400455700 is a wasteful number, since it uses less digits than its factorization.

64400455700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 64400455700 in words is "sixty-four billion, four hundred million, four hundred fifty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 811 850 1190 1622 1700 2380 2975 3244 4055 5677 5950 6673 8110 11354 11900 13346 13787 16220 20275 22708 26692 27574 28385 33365 40550 46711 55148 56770 66730 68935 81100 93422 96509 113441 113540 133460 137870 141925 166825 186844 193018 226882 233555 275740 283850 333650 344675 386036 453764 467110 482545 567205 567700 667300 689350 794087 934220 965090 1134410 1167775 1378700 1588174 1930180 2268820 2335550 2412725 2836025 3176348 3970435 4671100 4825450 5411803 5672050 7940870 9650900 10823606 11344100 15881740 19852175 21647212 27059015 37882621 39704350 54118030 75765242 79408700 92000651 108236060 135295075 151530484 184001302 189413105 270590150 368002604 378826210 460003255 541180300 644004557 757652420 920006510 947065525 1288009114 1840013020 1894131050 2300016275 2576018228 3220022785 3788262100 4600032550 6440045570 9200065100 12880091140 16100113925 32200227850 64400455700