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102470414080 = 285509157279
BaseRepresentation
bin101111101101110110…
…1100110111100000000
3100210111100011101021111
41133123231212330000
53134324411222310
6115024012333104
710255212101626
oct1373355467400
9323440141244
10102470414080
113a503971831
1217a39174194
139880580518
144d611ad516
1529eb06e28a
hex17dbb66f00

102470414080 has 72 divisors (see below), whose sum is σ = 245932444800. Its totient is φ = 40907378688.

The previous prime is 102470414077. The next prime is 102470414083. The reversal of 102470414080 is 80414074201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102470414077) and next prime (102470414083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102470414083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572881 + ... + 730159.

It is an arithmetic number, because the mean of its divisors is an integer number (3415728400).

Almost surely, 2102470414080 is an apocalyptic number.

102470414080 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 102470414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122966222400).

102470414080 is an abundant number, since it is smaller than the sum of its proper divisors (143462030720).

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

102470414080 is an equidigital number, since it uses as much as digits as its factorization.

102470414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157809 (or 157795 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

Adding to 102470414080 its reverse (80414074201), we get a palindrome (182884488281).

The spelling of 102470414080 in words is "one hundred two billion, four hundred seventy million, four hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 509 640 1018 1280 2036 2545 4072 5090 8144 10180 16288 20360 32576 40720 65152 81440 130304 157279 162880 314558 325760 629116 651520 786395 1258232 1572790 2516464 3145580 5032928 6291160 10065856 12582320 20131712 25164640 40263424 50329280 80055011 100658560 160110022 201317120 320220044 400275055 640440088 800550110 1280880176 1601100220 2561760352 3202200440 5123520704 6404400880 10247041408 12808801760 20494082816 25617603520 51235207040 102470414080