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261675214754020 = 225293712193626037
BaseRepresentation
bin111011011111111000000010…
…001110001101000011100100
31021022111220110122010110002021
4323133320002032031003210
5233244241314434112040
62324311533433552524
7106055260522031404
oct7337700216150344
91238456418113067
10261675214754020
1176417920962881
12254224abb75744
13b301b3668b2c2
144889210064804
15203bb8d55e24a
hexedfe0238d0e4

261675214754020 has 48 divisors (see below), whose sum is σ = 583830814699440. Its totient is φ = 98329400354304.

The previous prime is 261675214754011. The next prime is 261675214754033. The reversal of 261675214754020 is 20457412576162.

261675214754020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4717905461476 + 256957309292544 = 2172074^2 + 16029888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6096791559 + ... + 6096834478.

It is an arithmetic number, because the mean of its divisors is an integer number (12163141972905).

Almost surely, 2261675214754020 is an apocalyptic number.

261675214754020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261675214754020 is an abundant number, since it is smaller than the sum of its proper divisors (322155599945420).

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

261675214754020 is a wasteful number, since it uses less digits than its factorization.

261675214754020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12193626112 (or 12193626110 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 261675214754020 in words is "two hundred sixty-one trillion, six hundred seventy-five billion, two hundred fourteen million, seven hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 10730 21460 12193626037 24387252074 48774504148 60968130185 121936260370 243872520740 353615155073 451164163369 707230310146 902328326738 1414460620292 1768075775365 1804656653476 2255820816845 3536151550730 4511641633690 7072303101460 9023283267380 13083760737701 26167521475402 52335042950804 65418803688505 130837607377010 261675214754020