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102448338480 = 24325151194169
BaseRepresentation
bin101111101101001100…
…1011001011000110000
3100210102210121211020200
41133122121121120300
53134303233312410
6115021503235200
710254523336365
oct1373231313060
9323383554220
10102448338480
113a4a2464034
1217a318a8b00
139878b21437
144d5c2a446c
1529e915d3c0
hex17da659630

102448338480 has 120 divisors (see below), whose sum is σ = 344287026720. Its totient is φ = 27301186560.

The previous prime is 102448338479. The next prime is 102448338491. The reversal of 102448338480 is 84833844201.

It is a happy number.

102448338480 is a `hidden beast` number, since 10 + 2 + 4 + 483 + 3 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1040836 + ... + 1135004.

It is an arithmetic number, because the mean of its divisors is an integer number (2869058556).

Almost surely, 2102448338480 is an apocalyptic number.

102448338480 is a gapful number since it is divisible by the number (10) 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 102448338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172143513360).

102448338480 is an abundant number, since it is smaller than the sum of its proper divisors (241838688240).

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

102448338480 is a wasteful number, since it uses less digits than its factorization.

102448338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95699 (or 95690 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 102448338480 in words is "one hundred two billion, four hundred forty-eight million, three hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1511 3022 4533 6044 7555 9066 12088 13599 15110 18132 22665 24176 27198 30220 36264 45330 54396 60440 67995 72528 90660 94169 108792 120880 135990 181320 188338 217584 271980 282507 362640 376676 470845 543960 565014 753352 847521 941690 1087920 1130028 1412535 1506704 1695042 1883380 2260056 2825070 3390084 3766760 4237605 4520112 5650140 6780168 7533520 8475210 11300280 13560336 16950420 22600560 33900840 67801680 142289359 284578718 426868077 569157436 711446795 853736154 1138314872 1280604231 1422893590 1707472308 2134340385 2276629744 2561208462 2845787180 3414944616 4268680770 5122416924 5691574360 6403021155 6829889232 8537361540 10244833848 11383148720 12806042310 17074723080 20489667696 25612084620 34149446160 51224169240 102448338480