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876006130000 = 245487600613
BaseRepresentation
bin11001011111101100000…
…10001100000101010000
310002202010101002012022111
430233312002030011100
5103323030032130000
61510233123315104
7120201151150531
oct14576602140520
93082111065274
10876006130000
1130856a694171
1212193881ba94
13647b7827cb1
1430582904688
1517bc0d4bcba
hexcbf608c150

876006130000 has 50 divisors (see below), whose sum is σ = 2120898465554. Its totient is φ = 350402448000.

The previous prime is 876006129979. The next prime is 876006130019. The reversal of 876006130000 is 31600678.

It can be written as a sum of positive squares in 5 ways, for example, as 520666151184 + 355339978816 = 721572^2 + 596104^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 43790307 + ... + 43810306.

Almost surely, 2876006130000 is an apocalyptic number.

876006130000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

876006130000 is an abundant number, since it is smaller than the sum of its proper divisors (1244892335554).

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

876006130000 is an equidigital number, since it uses as much as digits as its factorization.

876006130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87600641 (or 87600620 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 876006130000 its reverse (31600678), we get a palindrome (876037730678).

The spelling of 876006130000 in words is "eight hundred seventy-six billion, six million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 87600613 175201226 350402452 438003065 700804904 876006130 1401609808 1752012260 2190015325 3504024520 4380030650 7008049040 8760061300 10950076625 17520122600 21900153250 35040245200 43800306500 54750383125 87600613000 109500766250 175201226000 219001532500 438003065000 876006130000