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102408450000 = 24355682723
BaseRepresentation
bin101111101100000000…
…1001110111111010000
3100210100000120021112120
41133120001032333100
53134213030400000
6115013520254240
710253530314423
oct1373001167720
9323300507476
10102408450000
113a48199a24a
1217a20471380
13987079659c
144d56c7d9ba
1529e58ce6a0
hex17d804efd0

102408450000 has 120 divisors (see below), whose sum is σ = 330673273056. Its totient is φ = 27308880000.

The previous prime is 102408449959. The next prime is 102408450077. The reversal of 102408450000 is 54804201.

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 (24).

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 23 ways as a sum of consecutive naturals, for example, 191362 + ... + 491361.

Almost surely, 2102408450000 is an apocalyptic number.

102408450000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102408450000 is an abundant number, since it is smaller than the sum of its proper divisors (228264823056).

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

102408450000 is an frugal number, since it uses more digits than its factorization.

102408450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682759 (or 682733 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 102408450000 in words is "one hundred two billion, four hundred eight million, four hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 75000 150000 682723 1365446 2048169 2730892 3413615 4096338 5461784 6827230 8192676 10240845 10923568 13654460 16385352 17068075 20481690 27308920 32770704 34136150 40963380 51204225 54617840 68272300 81926760 85340375 102408450 136544600 163853520 170680750 204816900 256021125 273089200 341361500 409633800 426701875 512042250 682723000 819267600 853403750 1024084500 1280105625 1365446000 1706807500 2048169000 2133509375 2560211250 3413615000 4096338000 4267018750 5120422500 6400528125 6827230000 8534037500 10240845000 12801056250 17068075000 20481690000 25602112500 34136150000 51204225000 102408450000